Thermodynamics in f(R,T) Theory of Gravity

Details Thermodynamics in f(R,T) Theory of Gravity Thermodynamics in f(R,T) Theory of Gravity

2012-04-04

arxiv.org/abs/1204.0848v2

JCAP 03(2012)028

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

A non-equilibrium picture of thermodynamics is discussed at the apparent horizon of FRW universe in $f(R,T)$ gravity, where $R$ is the Ricci scalar and $T$ is the trace of the energy-momentum tensor. We take two forms of the energy-momentum tensor of dark components and demonstrate that equilibrium description of thermodynamics is not achievable in both cases. We check the validity of the first and second law of thermodynamics in this scenario. It is shown that the Friedmann equations can be expressed in the form of first law of thermodynamics $T_hdS'_h+T_hd_{\jmath}S'=-dE'+W'dV$, where $d_{\jmath}S'$ is the entropy production term. Finally, we conclude that the second law of thermodynamics holds both in phantom and non-phantom phases.

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