Energy Conditions and Stability in $f(R)$ theories of gravity with non-minimal coupling to matter

Details Energy Conditions and Stability in $f(R)$ theories of gravity with non-minimal coupling to matter Energy Conditions and Stability in $f(R)$ theories of gravity with non-minimal coupling to matter

2009-03-26

arxiv.org/abs/0903.4540v2

Phys.Rev.D79:104010,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 2 tables. Version to match the one to appear in Physical Review D

Scientific paper

Recently, in the context of $f(R)$ modified theories of gravity, a new type of model has been proposed where one directly couples the scalar curvature to matter. As any model in $f(R)$ theory, there are certain conditions which have to be satisfy in order to ensure that the model is viable and physically meaningful. In this paper, one considers this new class of models with curvature-matter coupling and study them from the point of view of the energy conditions and of their stability under the Dolgov-Kawasaki criterion.

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