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Structural properties of compact stars in extended Teleparallel gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-22 Asifa Ashraf, Faisal Javed, Wen-Xiu Ma, G. Mustafa
In this study, the structures of stars are examined using the Karmarkar condition (KC) to assess the metric components. The study also takes into account the anisotropic source of the matter distribution in the context of Modified Teleparallel Rastall Gravity (MTRG). Various values of the model parameter η are tested by assuming different metric coefficients for the embedding spacetime. To calculate
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Bouncing behavior in f(R,Lm) gravity: Phantom crossing and energy conditions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-22 M. Koussour, N. Myrzakulov, Javlon Rayimbaev, Alnadhief H. A. Alfedeel, H. M. Elkhair
In this paper, we investigate the bouncing behavior of the universe within the framework of f(R,Lm) gravity, using a simple form of f(R,Lm)=R2+Lmγ (where γ is a free model parameter) as previously studied. The model predicts a vanishing Hubble parameter in the early and late times, with the deceleration parameter approaching a specific limit at the bouncing point. The EoS parameter is observed to cross
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Gravitational lensing in a spacetime with cosmic string within the Eddington-inspired Born–Infeld gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-22 Faizuddin Ahmed
This study explores the deflection angle of photon rays or light-like geodesics within the framework of Eddington-inspired Born–Infeld (EiBI) gravity background space-time, taking into account the influence of cosmic strings. The primary focus lies in deriving the effective potential of the system applicable to both null and time-like geodesics, as well as determining the angle of deflection for light-like
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Remarks on the global monopole topological effects on spherical symmetric potentials Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-22 K. Bakke
In this paper, we study the topological effects of the global monopole spacetime on the energy eigenvalues of spherical symmetric potentials in the nonrelativistic regime. We deal with the radial equation by using the Wentzel, Kramers and Brillouim (WKB) approximation. In the cases where the energy levels of the ℓ-waves can be achieved, the WKB approximation is used based on the Langer transformation
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Dark energy stars in f(R,G) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-18 Krishna Pada Das, Ujjal Debnath
In this paper, we have provided a discussion regarding the structural properties of a spherical compact stellar object within the background of f(R,G) modified gravity. We have considered that the interior region of the compact stellar body is filled by a composition of anisotropic dark energy and isotropic normal matter which are assumed to be non-interacting. To relate the two stated fluids, we have
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Deflection angle and shadow evolution from charged torus-like black hole under the effect of non-magnetic plasma and non-plasma medium Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-18 Riasat Ali, Xia Tiecheng, Muhammad Awais, Rimsha Babar
In this study, we investigate the deflection angle of a torus-like regular charged black hole in the limit approximation of a weak field to check the effects of non-magnetic plasma and non-plasma medium. Using spacetime optical geometry, we first compute the Gaussian optical curvature. We study the light deflection angle from a charged torus-like black hole using the Gibbons and Werner approach. By
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Little Rip and Pseudo Rip Cosmological Models with Coupled Dark Energy Based on a New Generalized Entropy Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-18 I. Brevik, A. V. Timoshkin
In this paper, we study Little Rip (LR) and Pseudo Rip (PR) cosmological models containing two coupled fluids: dark energy and dark matter. We assume a spatially flat Friedmann–Robertson–Walker (FRW) universe. The interaction between the dark energy and the dark matter fluid components is described in terms of the parameters in the generalized Equation of State (EoS) in presence of the bulk viscosity
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On the N-waves hierarchy with constant boundary conditions. Spectral properties Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-13 Vladimir S. Gerdjikov, Georgi G. Grahovski
This paper is devoted to N-wave equations with constant boundary conditions related to symplectic Lie algebras. We study the spectral properties of a class of Lax operators L, whose potentials Q(x,t) tend to constants Q± for x→±∞. For special choices of Q±, we outline the spectral properties of L, the direct scattering transform and construct its fundamental analytic solutions. We generalize Wronskian
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Exploring the deceleration parameter in f(T) gravity: A comprehensive analysis using parametrization techniques and observational data Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-13 Himanshu Chaudhary, Amine Bouali, Hülya Duru, Ertan Güdekli, G. Mustafa
In this paper, we employ parametrization techniques within the framework of f(T) gravity to investigate the deceleration parameter (DP), a key quantity characterizing the universe’s expansion dynamics. By analyzing the DP, we gain valuable insights into the nature of cosmic constituents and their impact on the universe’s evolution. We utilize a combination of observational data, including 31 Cosmic
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Perfect fluid locally rotationally symmetric Bianchi Type-I spacetimes admitting concircular vector fields in f(T) gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-13 Suhail Khan, Syed Majid Shah, Ahmad Tawfik Ali, Sameerah Jamal
We obtained the solutions of Einstein’s Field Equations (EFEs) for locally rotationally symmetric (LRS) Bianchi type-I perfect fluid spacetimes through the concircular vector fields (CCVFs) in f(T) gravity. It is shown that such metrics admit CCVFs of 4, 5, 6, 7, 8 and 15 dimensions. We also calculated the energy density, fluid pressure, torsion scalar T and the form of the function f(T). We did not
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A study of mixed super quasi-Einstein manifolds with applications to general relativity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-13 Mohd Vasiulla, Mohabbat Ali, İnan Ünal
In this paper, we explore a set of geometric properties of Mixed Super Quasi-Einstein (MSQE) manifolds and provide examples of both Riemannian and Lorentzian MSQE manifolds to demonstrate their existence. Furthermore, we examine MSQE spacetimes in the context of the space-matter tensor, discussing several related properties. Finally, we establish the existence of an MSQE spacetime through a nontrivial
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Characterization of a special type of Ricci–Bourguignon soliton on sequential warped product manifold Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-10 Sampa Pahan, Souvik Dutta
In this paper, we aim to characterize the sequential warped product κ-almost gradient conformal Ricci–Bourguignon soliton. We derive applications of some vector fields like conformal vector field, torse-forming vector field, torqued vector field on κ-almost conformal Ricci–Bourguignon soliton. The inheritance properties of the Einstein-like sequential warped product κ-almost gradient conformal Ricci–Bourguignon
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Dark energy and dark matter as a kinematic-electromagnetic Abelian gauge effect Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-10 Alcides Garat
In this paper, we will discuss an alternative theory for the origin of dark matter and dark energy based on the new concept of tetrad gauge states of spacetime. The new tetrads already introduced new physics since it has been proved that local electromagnetic gauge transformations can boost the local tetrad fields in a four-dimensional curved Lorentz spacetime. It is within this context that we will
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A comparative study on the maximum mass and radius of anisotropic compact stars from Heintzmann geometry and the TOV approach Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-10 B. Das, K. B. Goswami, P. K. Chattopadhyay
In this paper, a class of anisotropic compact stars is analyzed in Heintzmann geometry. The Einstein field equations (EFEs) have been solved to obtain the stellar model in presence of pressure anisotropy. We have considered the gtt metric component as proposed by Heintzmann, and by solving the EFEs, the grr metric component is evaluated in the presence of pressure anisotropy. It is noted that for an
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Binary Darboux transformation of vector nonlocal reverse-space nonlinear Schrödinger equations Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-10 Wen-Xiu Ma, Yehui Huang, Fudong Wang, Yong Zhang, Liyuan Ding
For vector nonlocal reverse-space nonlinear Schrödinger equations, a binary Darboux transformation is formulated by using two sets of eigenfunctions and adjoint eigenfunctions. The resulting binary Darboux transformation has been decomposed into an N-fold product of single binary Darboux transformations. An application starting from zero seed potentials generates a class of soliton solutions.
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Motion of test particles in quasi anti-de Sitter regular black holes Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-09 Dario Corona, Roberto Giambò, Orlando Luongo
In this paper, we explore the characteristics of two novel regular spacetimes that exhibit a nonzero vacuum energy term, under the form of a (quasi) anti-de Sitter phase. Specifically, the first metric is spherical, while the second, derived by applying the generalized Newman–Janis algorithm to the first, is axisymmetric. We show that the equations of state of the effective fluids associated with the
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Flux ruled surfaces and the magnetic curves obtained from the curvature theory Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-03 Çağla Gizem Şener, Fatma Güler
In this paper, our aim is to research the change in the magnetic field using the curvature theory of ruled surfaces. For this, we examine magnetic curves of the curve whose existence is guaranteed from the derivative formulas of the rotation frame. The Killing vector fields and Lorentz forces of these magnetic curves are calculated. Additionally, correlations between curvatures are obtained. Flux ruled
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Optical properties of a class of generalized conics Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-04-03 Eric Guiot
The optical and geometric properties of a class of generalized conics are presented. The study makes it possible to find in an original way several results of classical geometry and to connect numerous curves by a common law. Applications in geometric optics are envisaged, with the production of diopters, lenses or mirrors.
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Some characterizations of Quasi-Einstein and doubly product manifold Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-28 H. K. Elsayied, A. M. Tawfiq, A. Elsharkawy
This research paper explores the properties of quasi-Einstein manifolds with a unit concircular generator vector field within doubly warped product structures. The paper begins by investigating the characteristics of quasi-Einstein manifolds that possess a unit concircular generator vector field. Subsequently, it analyzes the behavior of the Hessian, Riemann, and Ricci vector fields in the context
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Quasi-static evolution of axially and reflection symmetric large-scale configuration Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-26 Z. Yousaf, Kazuharu Bamba, M. Z. Bhatti, U. Farwa
In this paper, we review a recently offered notion of quasi-static evolution of the axial self-gravitating structures at large scales and the criterium to characterize the corresponding evolutionary aspects under the influence of strong curvature regimes. In doing so, we examine the axial source’s dynamic and quasi-static behavior within the parameters of various modified gravity theories. We address
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A revisit to classical and quantum aspects of Raychaudhuri equation and possible resolution of singularity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-26 Subenoy Chakraborty, Madhukrishna Chakraborty
In this review, we provide a concrete overview of the Raychaudhuri equation, Focusing Theorem and convergence conditions in a plethora of backgrounds and discuss the consequences. We also present various classical and quantum approaches suggested in the literature that could potentially mitigate the initial big-bang singularity and the black-hole singularity.
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Geometric phase for two-mode entangled squeezed-coherent states Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-25 S. Mohammadi Almas, G. Najarbashi, A. Tavana
In this paper, we investigate the geometric phase (GP) of two-mode entangled squeezed-coherent states (ESCSs), undergoing unitary cyclic evolution. Results show that increasing the squeezing parameter of either mode of the balanced ESCS compresses the GP elliptically with respect to the coherence parameter of the corresponding mode. While in the case of unbalanced ESCS, the GP is compressed hyperbolically
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Ricci solitons and curvature inheritance on Robinson–Trautman spacetimes Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-22 Absos Ali Shaikh, Biswa Ranjan Datta
The purpose of this paper is to investigate the existence of Ricci solitons and the nature of curvature inheritance as well as collineations on the Robinson–Trautman (briefly, RT) spacetime. It is shown that under certain conditions RT spacetime admits almost-Ricci soliton, almost-η-Ricci soliton, almost-gradient η-Ricci soliton. As a generalization of curvature inheritance [K. L. Duggal, Curvature
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Generalized variational structures of the (3 + 1)-dimensional Zakharov–Kuznetsov–Burgers equation in dusty plasma Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-22 Kang-Jia Wang, Shuai Li, Feng Shi
The center of this paper is to establish the generalized variational structure (GVS) of the (3+1)-dimensional Zakharov–Kuznetsov–Burgers equation (ZKBe) by taking advantage of the Semi-inverse method (SIM). Two different GVSs are extracted and the derivation process is presented in detail. The extracted GVSs reveal the energy conservation law and can offer some new insights on the study of the variational
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Energy density inhomogeneities with self-gravitating charged fluid in modified teleparallel gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-22 M. Z. Bhatti, Nasser Bin Turki, S. Hanif, A. Malik
In this paper, we analyze energy density inhomogeneities for charged fluid configuration in the background of f(T) theory and recognize its prime features as computed in GR. The dynamical equations are composed employing Bianchi identities for the standard, f(T) extra terms, and energy-momentum tensor for the electromagnetic field. We evaluate various mathematical models of dissipative and anisotropic
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Some inequalities for bi-slant Riemannian submersions in complex space forms Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-21 Nergiz Poyraz, Yılmaz Gündüzalp, Mehmet Akif Akyol
The goal of this paper is to analyze sharp-type inequalities including the scalar and Ricci curvatures of bi-slant Riemannian submersions in complex space forms. Then, for bi-slant Riemannian submersion between a complex space form and a Riemannian manifold, we give inequalities involving the Casorati curvature of the space ker φ∗. Also, we mention some examples.
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A flat FLRW dark energy model in f(Q,C)-gravity theory with observational constraints Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-21 Anirudh Pradhan, Archana Dixit, M. Zeyauddin, S. Krishnannair
In the recently suggested modified non-metricity gravity theory with boundary term in a flat FLRW spacetime universe, dark energy scenarios of cosmological models are examined in this study. An arbitrary function, f(Q,C)=Q+αC2, has been taken into consideration, where Q is the non-metricity scalar, C is the boundary term denoted by C=R̈−Q, and α is the model parameter, for the action that is quadratic
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Bouncing universe scenario in f(Q,T) gravity model Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-21 S. Davood Sadatian, S. Mohamad Reza Hosseini
In this paper, we investigate the bouncing universe in a modified gravity model f(Q,T). The bouncing universe theory posits that the universe goes through periodic expansions and contractions, with a “bounce” occurring at the end of each contraction that leads to a new expansion. This theory suggests that our universe didn’t emerge on its own out of nothing, but is instead the latest in a series of
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The Kastler–Kalau–Walze-type theorems about J-Witten deformation Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-21 Siyao Liu, Yong Wang
In this paper, we obtain a Lichnerowicz-type formula for J-Witten deformation and give the proof of the Kastler–Kalau–Walze-type theorems associated with J-Witten deformation on four-dimensional and six-dimensional almost product Riemannian manifold with (respectively, without) boundary. We give an explanation of the Einstein–Hilbert action for J-Witten deformation on four-dimensional manifold with
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Spectrum and q-index of the super q-deformed Dirac operator on the superquantum fuzzy two-sphere Sqμ(2|2) Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-16 M. Mahmoodi, M. Lotfizadeh, Behnam Mohammadi
In this paper, we have computed the spectrum and the q-index of the super q-deformed Ginsparg–Wilson Dirac operator in the different cases (fuzzy, non-fuzzy, gauged, and non-gauged) on the superquantum fuzzy two-sphere Sqμ(2|2). We also presented the appropriate spin structure that this operator acts on the superquantum (Dirac) spinor bundle. Finally, it was shown that in the non-quantum limit, when
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Behaviors of black holes and black strings in M-theory on Calabi–Yau manifolds Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-16 Adil Belhaj, Abderrahim Bouhouch
In this work, we reconsider the study of black holes and black strings in the compactification of M-theory on a Calabi–Yau three-fold, considered as a complete intersection of hypersurfaces in a product of weighted projective spaces given by 𝕎ℙ4(ω,1,1,1,1)×ℙ1. Using the N=2 supergravity formalism in five dimensions, we examine the BPS and non-BPS solutions by wrapping M-branes on appropriate cycles
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Introduction to loop quantum gravity. The Holst’s action and the covariant formalism Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 L. Fatibene, A. Orizzonte, A. Albano, S. Coriasco, M. Ferraris, S. Garruto, N. Morandi
We review Holst formalism and dynamical equivalence with standard GR (in dimension 4). Holst formalism is written for a spin coframe field eμI and a Spin(3,1)-connection ωμIJ on spacetime M and it depends on the Holst parameterγ∈ℝ−{0}. We show the model is dynamically equivalent to standard GR, in the sense that up to a pointwise Spin(3,1)-gauge transformation acting on (uppercase Latin) frame indices
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First-order quantum correction of thermodynamics in a charged accelerating AdS black hole with gauge potential Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 Riasat Ali, Rimsha Babar, Houcine Aounallah, Ali Övgün
In this paper, we study the tunneling radiation from a charged-accelerating AdS black hole with gauge potential under the impact of quantum gravity. Using the semi-classical phenomenon known as the Hamilton–Jacobi ansatz, it is studied that tunneling radiation occurs via the horizon of a black hole and also employs the Lagrangian equation using the generalized uncertainty principle. Furthermore, we
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From the classical Frenet–Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part II. Nonstationary Hamiltonians Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 Paul M. Alsing, Carlo Cafaro
In this paper, we present a geometric perspective on how to quantify the bending and the twisting of quantum curves traced by state vectors evolving under nonstationary Hamiltonians. Specifically, relying on the existing geometric viewpoint for stationary Hamiltonians, we discuss the generalization of our theoretical construct to time-dependent quantum-mechanical scenarios where both time-varying curvature
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A background independent notion of causality Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 A. Capolupo, A. Quaranta
We develop a notion of causal order on a generic manifold as independent of the underlying differential and topological structure. We show that sufficiently regular causal orders can be recovered from a distinguished algebra of sets, which plays a role analogous to that of topologies and σ algebras. We then discuss how a natural notion of measure can be associated to the algebra of causal sets.
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The Hodge–Dirac operator and Dabrowski–Sitarz–Zalecki-type theorems for manifolds with boundary Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 Tong Wu, Yong Wang
Dabrowski et al. [Spectral metric and Einstein functionals for Hodge–Dirac operator, preprint (2023), arXiv:2307.14877] gave spectral Einstein bilinear functionals of differential forms for the Hodge–Dirac operator d+δ on an oriented even-dimensional Riemannian manifold. In this paper, we generalize the results of Dabrowski et al. to the cases of 4-dimensional oriented Riemannian manifolds with boundary
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Quantum mechanics on a p-adic Hilbert space: Foundations and prospects Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-11 Paolo Aniello, Stefano Mancini, Vincenzo Parisi
We review some recent results on the mathematical foundations of a quantum theory over a scalar field that is a quadratic extension of the non-Archimedean field of p-adic numbers. In our approach, we are inspired by the idea — first postulated in [I. V. Volovich, p-adic string, Class. Quantum Grav.4 (1987) L83–L87] — that space, below a suitably small scale, does not behave as a continuum and, accordingly
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Plasma-infused solitary waves: Unraveling novel dynamics with the Camassa–Holm equation Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-09 Chanyuan Wang, Reem Altuijri, Abdel-Haleem Abdel-Aty, Kottakkaran Sooppy Nisar, Mostafa M. A. Khater
This investigation employs advanced computational techniques to ascertain novel and precise solitary wave solutions of the Camassa–Holm (𝒞ℋ) equation, a partial differential equation governing wave phenomena in one-dimensional media. Originally designed for the representation of shallow water waves, the 𝒞ℋ equation has exhibited versatility across various disciplines, including nonlinear optics and
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On discrete properties of Bernoulli shift Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 Emília Halušková, Radka Schwartzová
Monounary algebras are the most simple type of an algebraic structure. Oriented graphs with one outgoing arrow from every vertex represent them. The aim of this paper is to point out the interdisciplinary relationships concerning this structure. Bernoulli shift is a paradigmatic mapping in dynamical systems. It is also called dyadic, bit shift, doubling or sawtooth. We offer a look at the properties
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Geometric methods in quantum information and entanglement variational principle Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-05 Daniele Iannotti, Alioscia Hamma
Geometrical methods in quantum information are very promising for both providing technical tools and intuition into difficult control or optimization problems. Moreover, they are of fundamental importance in connecting pure geometrical theories, like GR, to quantum mechanics, like in the AdS/CFT correspondence. In this paper, we first make a survey of the most important settings in which geometrical
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Revisiting Legendre transformations in Finsler geometry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-05 Ernesto Rodrigues, Iarley P. Lobo
In this paper, we discuss the conditions for mapping the geometric description of the kinematics of particles that probe a given Hamiltonian in phase space to a description in terms of Finsler geometry (and vice-versa).
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Charged stellar structure with Krori–Barua potentials in f(R,ϕ,X) gravity admitting Chaplygin equation of state Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-05 Adnan Malik
The primary objective of this paper is to examine singularity-free solutions within the framework of anisotropic solutions for the Chaplygin equation of state in f(R,ϕ,X) modified gravity theory. Herein, R signifies the Ricci scalar, ϕ denotes the scalar field, and X represents the kinetic term associated with ϕ. The investigation employs the Krori–Barua metric to explore the characteristics of an
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The equivalence principle as a Noether symmetry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Salvatore Capozziello, Carmen Ferrara
The equivalence principle is considered in the framework of metric-affine gravity. We show that it naturally emerges as a Noether symmetry starting from a general non-metric theory. In particular, we discuss the Einstein equivalence principle and the strong equivalence principle showing their relations with the non-metricity tensor. Possible violations are also discussed pointing out the role of non-metricity
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Observation constraints on scalar field cosmological model in anisotropic universe Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Vinod Kumar Bhardwaj, Anil Kumar Yadav
In this study, we have explored a scalar field cosmological model in the axially symmetric Bianchi type-I universe. In this study, our aim is to constrain the scalar field dark energy model in an anisotropic background. For this purpose, the explicit solution of the developed field equations for the model is determined and analyzed. Constraints on the cosmological model parameters are established utilizing
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From the classical Frenet–Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part I. Stationary Hamiltonians Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Paul M. Alsing, Carlo Cafaro
It is known that the Frenet–Serret apparatus of a space curve in three-dimensional Euclidean space determines the local geometry of curves. In particular, the Frenet–Serret apparatus specifies important geometric invariants, including the curvature and the torsion of a curve. It is also acknowledged in quantum information science that low complexity and high efficiency are essential features to achieve
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A note on generalized weakly ℋ-symmetric manifolds and relativistic applications Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Sameh Shenawy, Nasser Bin Turki, Carlo Mantica
In this work, generalized weakly ℋ-symmetric space-times (GWHS)n are investigated, where ℋ is any symmetric (0,2) tensor. It is proved that, in a nontrivial (GWHS)n space-time, the tensor ℋ has a perfect fluid form. Accordingly, sufficient conditions for a nontrivial generalized weakly Ricci symmetric space-time (GWRS)n to be either an Einstein space-time or a perfect fluid space-time are obtained
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Non-commutative Wormhole geometries in presence of modified Chaplygin–Jacobi gas and Anton–Schmidt fluid Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Soubhik Paramanik, Ujjal Debnath
In this work, we have found Wormhole (WH) solutions in isotropic cosmology in the backdrop of general relativity while utilizing the “Modified Chaplygin–Jacobi Gas” and “Anton–Schmidt fluid” equations of state. As a starting point for our calculations, we have also considered two matter distributions, namely the Gaussian distribution and the Lorentzian distribution. All four energy conditions (i.e
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On D-brane models from flat torus geometry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 S. E. Ennadifi
Inspired by string theory compactifications and torus 𝕋2 topology, we consider a general interacting D(3+n)-brane model, with n being the number of extra dimensions, built from a flat torus ℝ2n/ℤ2n compactification. In particular, we present the squared n=2 torus topological features and investigate the associated low-energy D-brane physics.
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Position-dependent mass from noncommutativity and its statistical descriptions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-28 Latévi M. Lawson, Kossi Amouzouvi, Komi Sodoga, Katawoura Beltako
A set of position-dependent noncommutative algebra in two dimension (2D) that describes the space near the Planck scale had been introduced [J. Phys. A: Math. Theor. 53 (2020) 115303]. This algebra predicted the existence of maximal length of graviton measurable at low energy. From this algebra, we deduce in the present paper, a new noncommutative algebra that is compatible with the deformed algebra
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Investigating the compatibility of exact solutions in Weyl-type f(Q,T) gravity with observational data Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 M. Koussour, S. Myrzakulova, N. Myrzakulov
In this study, we investigate the dynamics of the Universe during the observed late-time acceleration phase within the framework of the Weyl-type f(Q,T) theory. Specifically, we consider a well-motivated model with the functional form f(Q,T)=αQ+β6κ2T, where Q represents the scalar of non-metricity and T denotes the trace of the energy–momentum tensor. In this context, the non-metricity Qμαβ of the
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Spacetime metric from quantum-gravity corrected Feynman propagators Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 P. Fernández de Córdoba, J. M. Isidro, Rudranil Roy
Differentiation of the scalar Feynman propagator with respect to the spacetime coordinates yields the metric on the background spacetime that the scalar particle propagates in. Now Feynman propagators can be modified in order to include quantum-gravity corrections as induced by a zero-point length L>0. These corrections cause the length element s2 to be replaced with s2+4L2 within the Feynman propagator
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Solitons and traveling waves structure for the Schrödinger–Hirota model in fluids Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 Fazal Badshah, Kalim U. Tariq, Jian-Guo Liu, S. M. Raza Kazmi
The Schrödinger–Hirota equation is one of the most important models of contemporary physics which is popular throughout the broad fields of fluid movement as well as in the study of thick-water crests, liquid science, refractive optical components and so on. In this paper, we utilize the Hirota bilinear technique and the unified technique to attain various soliton solutions of the governing model analytically
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Conformal η-Ricci–Bourguignon soliton in general relativistic spacetime Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 Santu Dey, Shyamal Kumar Hui, Soumendu Roy, Ali H. Alkhaldi
In this research paper, we determine the nature of conformal η-Ricci–Bourguignon soliton on a general relativistic spacetime with torse forming potential vector field. Besides this, we evaluate a specific situation of the soliton when the spacetime admitting semi-symmetric energy–momentum tensor with respect to conformal η-Ricci–Bourguignon soliton, whose potential vector field is torse-forming. Next
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The geometry of quantum computing Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-22 E. Ercolessi, R. Fioresi, T. Weber
In this expository paper, we present a brief introduction to the geometrical modeling of some quantum computing problems. After a brief introduction to establish the terminology, we focus on quantum information geometry and ZX-calculus, establishing a connection between quantum computing questions and quantum groups, i.e. Hopf algebras.
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Lie symmetries of Lemaitre–Tolman–Bondi metric Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-22 Jamshed Khan, Tahir Hussain, Ashfaque H. Bokhari, Muhammad Farhan
The aim of this paper is to investigate Lie symmetries including Killing, homothetic and conformal symmetries of Lemaitre–Tolman–Bondi (LTB) spacetime metric. To find all LTB metrics admitting these three types of symmetries, we have analyzed the set of symmetry equations by a Maple algorithm that provides some restrictions on the functions involved in LTB metric under which this metric admits the
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Generating f(R,𝒢) gravity from type IV singular bouncing cosmology Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-20 G. C. Assolohou, C. Aïnamon, C. D. Akowanou, M. G. Ganiou, M. J. S. Houndjo
In this paper, we investigate in this paper the Type IV singular bouncing in the framework of f(R,𝒢) theory of gravity where R and 𝒢 mean the curvature scalar and the Gauss–Bonnet invariant, respectively. Cosmological f(R,𝒢) models constrained by the slow-roll evolution is reconstructed and their explicit forms are provided near the bounce and far away from it. One obtains finally two models whose
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Null cartan geodesic isophote curves in Minkowski 3-space Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-20 Zewen Li, Donghe Pei
In this paper, we investigate null Cartan geodesic isophote curves in the Minkowski 3-space, and give examples where such curves actually exist. By categorizing the types of light vectors, we characterize different types of null Cartan geodesic isophote curves. Moreover, we present the relationship between null Cartan geodesic isophote curves and other special curves.
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Modified Friedmann equations and fractal Black Hole thermodynamics Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-20 S. Davood Sadatian, T. Gholame
The general relativity unification and quantum theory is a significant open problem in theoretical physics. This problem arises from the fact that these two fundamental theories, which describe gravity and the behavior of particles at the microscopic level, respectively, are currently incompatible. The unification of these theories is crucial for a complete comprehension of the fundamental forces and
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A closed universe with hybrid nonlocality Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-16 Branko Dragovich
In this paper, we explore some cosmological solutions of the Friedmann–Lemaître–Robertson–Walker (FLRW) closed universe with nonlocal de Sitter gravity dS and nonlocal scalar field which has its origin in p-adic string theory. In this case, we have that both geometrical and matter sectors of equations of motion (EoM) are nonlocal. The cosmological constant Λ plays a role of dark energy (DE) and is
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Characterizations of η–ρ-Einstein solitons in spacetimes and f(ℛ)-gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-16 Uday Chand De, Arpan Sardar, Fatemah Mofarreh
A generalized Robertson–Walker spacetime is not, in general, a perfect fluid spacetime and the converse is not, in general, true. In this paper, we show that if a perfect fluid spacetime admits an η–ρ-Einstein soliton, then the integral curves generated by the velocity vector field u are geodesics and the acceleration vector vanishes. Also, we show that if a perfect fluid spacetime with Killing velocity