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Thermodynamics of apparent horizon and modified Friedman equations

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arxiv 1012.0383 v1 pith:LK5FFD47 submitted 2010-12-02 hep-th

Ahmad Sheykhi This is my paper · ORCID
classification hep-th
keywords apparenthorizonentropyfracthermodynamicsassociatedcorrectedequations
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abstract

Starting from the first law of thermodynamics, $dE=T_hdS_h+WdV$, at apparent horizon of a FRW universe, and assuming that the associated entropy with apparent horizon has a quantum corrected relation, $S=\frac{A}{4G}-\alpha \ln \frac{A}{4G}+\beta \frac{4G}{A}$, we derive modified Friedmann equations describing the dynamics of the universe with any spatial curvature. We also examine the time evolution of the total entropy including the quantum corrected entropy associated with the apparent horizon together with the matter field entropy inside the apparent horizon. Our study shows that, with the local equilibrium assumption, the generalized second law of thermodynamics is fulfilled in a region enclosed by the apparent horizon.

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Cited by 4 Pith papers

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

  1. Constraints on R\'{e}nyi Entropy through Primordial Big-Bang Nucleosynthesis and Baryogenesis

    physics.gen-ph 2025-07 reject novelty 5.0 of 10

    Rényi entropy cosmology constrained by BBN: helium and deuterium allow overlapping λ ranges near 10^-85, lithium requires disjoint values, so the constant-λ model cannot solve the lithium problem.

  2. Late-Time Cosmology and Structure Formation in Quadratic $f(Q)$ Gravity

    physics.gen-ph 2026-06 unverdicted novelty 4.0 of 10

    Quadratic f(Q) gravity adds an H^4 term to the Friedmann equation and introduces a time-dependent G_eff that suppresses linear growth and halo abundance, offering a modified-gravity route to easing the S8 tension.

  3. An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field

    gr-qc 2025-09 reject novelty 4.0 of 10

    A reverse-engineered modified-Schwarzschild solution in scalar-coupled higher-curvature gravity is presented, whose headline 'weaker singularity' claim is contradicted by its own Kretschmann-scalar results (r^-9 versu...

  4. Generalized Brans-Dicke theory from Verlinde's entropic gravity

    gr-qc 2025-06 reject novelty 3.0 of 10

    Combining q-deformed statistics with Verlinde entropic gravity yields Brans-Dicke equations with a constant rescaling of G and omega, so no new gravitational dynamics appear.

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