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Asymptotically de-Sitter solution with negative gravitational constant from El-Nabulsi’s non-standard Lagrangian

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Abstract

In this short communication, we have used one special class of non-standard Lagrangians which is of exponential introduced by El-Nabulsi in his analysis of several problems arising in classical and quantum dynamics to construct a cosmological model that is characterized by a negative Newton’s gravitational constant. This approach is characterized by a repulsive gravity which may solve several problems that currently overwhelm the standard theory of gravitation. We show that repulsive/negative gravity arises naturally if the El-Nabulsi exponential Lagrangian is used in place of the conventional Lagrangian. Furthermore, it has been shown that this approach can reproduce known results in modern cosmology which are in agreement with recent observational data. We speculate that El-Nabulsi non-standard exponential Lagrangian can explain the observed accelerating expansion of the universe and bring some new insights into understanding the nature of negative gravitational constant and its consequences.

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  1. Department of Mathematics, Savitribai Phule Pune University, Pune, 411001, India

    Omprakash Atale

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Atale, O. Asymptotically de-Sitter solution with negative gravitational constant from El-Nabulsi’s non-standard Lagrangian. Indian J Phys 98, 1893–1900 (2024). https://doi.org/10.1007/s12648-023-02952-0

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