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Generalized second law of thermodynamics in f(R,T) theory of gravity

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arxiv 1512.04755 v2 pith:JYC77CWW submitted 2015-12-15 gr-qc

classification gr-qc
keywords generalizedgravitysecondtheorythermodynamicsenergy-momentumformrelations
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We present a study of the generalized second law of thermodynamics in the scope of the f(R,T) theory of gravity, with R and T representing the Ricci scalar and trace of the energy-momentum tensor, respectively. From the energy-momentum tensor equation for the f(R,T) = R + f(T) case, we calculate the form of the geometric entropy in such a theory. Then, the generalized second law of thermodynamics is quantified and some relations for its obedience in f(R,T) gravity are presented. Those relations depend on some cosmological quantities, as the Hubble and deceleration parameters, and on the form of f(T).

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  1. The generalized second law as a thermodynamic selection criterion for dynamical dark energy

    gr-qc 2026-08 conditional novelty 6.0 of 10

    The generalized second law imposes complementary bounds on the horizon entropy scaling k in phantom and quintessence regimes, selecting k=2 at a smooth phantom-divide crossing.

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