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Exponential correction to Friedmann equations

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arxiv 2407.14685 v1 pith:6ZM5H562 submitted 2024-07-19 gr-qc hep-th

classification gr-qchep-th
keywords equationsfriedmannfirstmodifiedthermodynamicsbehaviourbouncingderive
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abstract

In this paper, employing the exponential corrected entropy (Chatterjee and Ghosh in Phys Rev Lett 125:041302, 2020), we derive the modified Friedmann equations from the first law of thermodynamics at apparent horizon and Verlinde's entropic gravity scenario. First, we derive the modified Friedmann equations from the first law of thermodynamics. We investigate the validity of generalised second law (GSL) of thermodynamics and find that it is always satisfied for the all eras of universe. Moreover, we investigate the deceleration parameter for the case $k=0$ in two frameworks. Finally, we numerically study the bouncing behaviour for the modified Friedmann equations obtained from entropic gravity. The results indicate that the bouncing behaviour is possible for the cases $k=1$ and $k=-1$.

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  1. Correspondence between Myrzakulov $F(R,Q)$ gravity and Tsallis cosmology

    gr-qc 2025-02 conditional novelty 5.0 of 10

    With a specific choice of connection functions, Myrzakulov F(R,Q) gravity and Tsallis cosmology produce identical background expansion but different growth of density perturbations.

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