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Modified Friedmann equations from fractional entropy

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arxiv 2308.10212 v2 pith:FMZKZNHX submitted 2023-08-20 gr-qc hep-th

classification gr-qchep-th
keywords equationsfractionalframeworksfriedmannapparentconsiderentropicentropy
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abstract

Based on the fractional black hole entropy (Jalalzadeh S. et al., Eur. Phys. J. C, 81 (2021) 632), we derive the modified Friedmann equations from two different frameworks. First, we consider the modifications of Friedmann equations from the first law of thermodynamics at the apparent horizon. We show that the generalized second law (GSL) of thermodynamics always holds in a region bounded by the apparent horizon. Then, we obtain Friedmann equations from Verlinde's entropic gravity framework. We also compute the fractional corrections to the deceleration parameter $q$ in the flat case $k=0$ for both frameworks. Furthermore, we consider the time to reach the initial singularity for the two frameworks. The results indicate that the initial singularity is accessible for both frameworks. However, fractional effects may provide a constraint on the equation of state parameter in the entropic gravity scenario since the time is imaginary for $-2/3\alpha<\omega<-1/3$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Effective matter sectors from modified entropies

    gr-qc 2025-11 conditional novelty 4.0 of 10

    Choosing a modified entropy S(r) fixes a metric f(r)=1-4πM/S'(r), and the Einstein tensor of that metric acts as an anisotropic effective fluid.

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