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

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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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2026 1

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  • Apparent horizon thermodynamics in an exponential $f(Q)$ gravity model gr-qc · 2026-08-08 · conditional · none · ref 42 · internal anchor

    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.