Conditions and instability in f(R) gravity with non-minimal coupling between matter and geometry
Department of Physics, Liaoning Normal University, Dalian, 116029, China
2 College of Physics, Liaoning University, Shenyang, 110036, China
Revised: 10 July 2010
Published online: 2 September 2010
In this paper, on the basis of the generalized f(R) gravity model with arbitrary coupling between geometry and matter, four classes of f(R) gravity models with non-minimal coupling between geometry and matter will be studied. By means of conditions of power-law expansion and the equation of state of matter less than −1/3, the relationship among p, w and n, the conditions and the candidate for late-time cosmic accelerated expansion will be discussed in the four classes of f(R) gravity models with non-minimal coupling. Furthermore, in order to keep to considering models that are realistic ones, the Dolgov–Kawasaki instability will be investigated in each of them.
© Springer-Verlag / Società Italiana di Fisica, 2010