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Parametrization of the deceleration parameter in a flat FLRW universe: constraints and comparative analysis with the \(\Lambda \)CDM paradigm

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Abstract

The constraint of the deceleration parameter associated with dark energy stands as one of the most captivating subjects in the present cosmological framework. This study centers on the parametric reconstruction of the deceleration parameter in a flat Friedmann–Robertson–Walker (FLRW) Universe that encompasses radiation, dark energy, and pressure-less dark matter. In this context, we thoroughly investigate a highly motivated parametrization of q(z), which offers an evolutionary scenario from deceleration to the acceleration phase of the Universe. The crucial task of estimating the parametrization of the Hubble parameter is accomplished through its incorporation into the Friedmann equation. The free parameters are subsequently constrained utilizing a comprehensive set of observational data, including H(z), type Ia supernovae (SNIa), Baryon Acoustic Oscillation (BAO), Gamma Ray Burst (GRB), and Quasar (Q) measurements. Implementing the Markov Chain Monte Carlo (MCMC) technique and the H(z) + BAO + SNIa + GRB + Q dataset, we derive the best-fit values for the model parameters. Consequently, we provide a graphical analysis of the cosmographic parameters such as deceleration, jerk, and snap parameters by applying these optimized model parameter values. Finally, we compare our results with those of the standard \(\Lambda \)CDM paradigm to evaluate the viability of our proposed models.

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Acknowledgements

G. Mustafa is very thankful to Prof. Gao Xianlong from the Department of Physics, Zhejiang Normal University, for his kind support and help during this research. Further, G. Mustafa acknowledges Grant No. ZC304022919 to support his Postdoctoral Fellowship at Zhejiang Normal University, China.

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Authors and Affiliations

  1. Department of Applied Mathematics, Delhi Technological University, Delhi, 110042, India

    Himanshu Chaudhary

  2. Pacif Institute of Cosmology and Selfology (PICS) Sagara, Sambalpur, Odisha, 768224, India

    Himanshu Chaudhary

  3. Department of Mathematics, Shyamlal College, University of Delhi, Delhi, 110032, India

    Himanshu Chaudhary

  4. Institute of Chemical Engineering and Technology, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    Saadia Mumtaz

  5. Laboratory of Physics of Matter and Radiation, Mohammed I University, BP 717, Oujda, Morocco

    Amine Bouali

  6. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711 103, India

    Ujjal Debnath

  7. Department of Physics, Zhejiang Normal University, Jinhua, 321004, People’s Republic of China

    G. Mustafa

  8. New Uzbekistan University, Movarounnahr street 1, Tashkent, 100007, Uzbekistan

    G. Mustafa

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  1. Himanshu Chaudhary
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  2. Saadia Mumtaz
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  3. Amine Bouali
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  4. Ujjal Debnath
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  5. G. Mustafa
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Contributions

HC and SM: Conceived of the presented idea, Verified the analytical methods, Discussed the results and contributed to the final manuscript. AB: Developed the theory, Investigate the analysis and supervised the findings of this work, Discussed the results and contributed to the final manuscript. UD: Conceived of the presented idea, Discussed the results and contributed to the final manuscript. G. Mustafa: Performed the computations, Verified the analytical methods, Discussed the results and contributed to the final manuscript.

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Correspondence to G. Mustafa.

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Chaudhary, H., Mumtaz, S., Bouali, A. et al. Parametrization of the deceleration parameter in a flat FLRW universe: constraints and comparative analysis with the \(\Lambda \)CDM paradigm. Gen Relativ Gravit 55, 133 (2023). https://doi.org/10.1007/s10714-023-03181-w

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