1212.4921 (Jun Wang et al.)

Energy Conditions and Stability in generalized $f(R)$ gravity with arbitrary coupling between matter and geometry    [PDF]

Jun Wang, Ya-Bo Wu, Yong-Xin Guo, Wei-Qiang Yang, Lei Wang

The energy conditions and the Dolgov-Kawasaki criterion in generalized $f(R)$ gravity with arbitrary coupling between matter and geometry are derived in this paper, which are quite general and can degenerate to the well-known energy conditions in GR and $f(R)$ gravity with non-minimal coupling and non-coupling as special cases. In order to get some insight on the meaning of these energy conditions and the Dolgov- Kawasaki criterion, we apply them to a class of models in the FRW cosmology and give some corresponding results.

View original: http://arxiv.org/abs/1212.4921