Thermodynamics in $F(R)$ gravity with phantom crossing

Abstract

We study thermodynamics of the apparent horizon in $F(R)$ gravity. In particular, we demonstrate that a $F(R)$ gravity model with realizing a crossing of the phantom divide can satisfy the second law of thermodynamics in the effective phantom phase as well as non-phantom one.

Comments: 17 pages, no figure, revised version, accepted in Phys. Lett. B