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Thermodynamics in $f(R)$ gravity in the Palatini formalism

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arxiv 1005.5234 v1 pith:GNJ7SHTB submitted 2010-05-28 gr-qc astro-ph.COhep-th

Kazuharu Bamba , Chao-Qiang Geng This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords horizonthermodynamicsapparentequilibriumformalismgravitynon-equilibriumpalatini
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abstract

We investigate thermodynamics of the apparent horizon in $f(R)$ gravity in the Palatini formalism with non-equilibrium and equilibrium descriptions. We demonstrate that it is more transparent to understand the horizon entropy in the equilibrium framework than that in the non-equilibrium one. Furthermore, we show that the second law of thermodynamics can be explicitly verified in both phantom and non-phantom phases for the same temperature of the universe outside and inside the apparent horizon.

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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. Apparent horizon thermodynamics in an exponential $f(Q)$ gravity model

    gr-qc 2026-08 conditional novelty 5.0 of 10

    In an exponential f(Q) model, apparent-horizon entropy gains exponentially suppressed corrections to the area law, and the generalized second law excludes parameter values b>0.26 in the future-redshift region.

  2. Cosmological horizon thermodynamics in Gauss-Bonnet quasi-dilaton Massive Gravity

    gr-qc 2026-07 reject novelty 5.0 of 10

    Gauss-Bonnet quasi-dilaton massive gravity is claimed to obey horizon thermodynamics and the holographic entropy bound, provided the Gauss-Bonnet coupling is non-negative.

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