Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-01-19
Int.J.Mod.Phys.D20:1363-1371,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 pages, no figure, revised version, to be published in the Proceedings of the "2nd International Workshop on Dark Matter, Dar
Scientific paper
10.1142/S0218271811019542
We demonstrate that there does exist an equilibrium description of thermodynamics on the apparent horizon in the expanding cosmological background for a wide class of modified gravity theories with the Lagrangian density $f(R, \phi, X)$, where $R$ is the Ricci scalar and $X$ is the kinetic energy of a scalar field $\phi$. This comes from a suitable definition of an energy momentum tensor of the "dark" component obeying the local energy conservation law in the Jordan frame. It is shown that the equilibrium description in terms of the horizon entropy $S$ is convenient because it takes into account the contribution of the horizon entropy $\hat{S}$ in non-equilibrium thermodynamics as well as an entropy production term.
Bamba Kazuharu
Geng Chao-Qiang
Tsujikawa Shinji
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