TITLE:
Testing Some f(R,T) Gravity Models from Energy Conditions
AUTHORS:
Flavio Gimenes Alvarenga, Mahouton Jonas Stephane Houndjo, Adjimon Vincent Monwanou, Jean Bio Chabi Orou
KEYWORDS:
Modified Gravity; Energy Conditions; Cosmological Stability
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.1,
January
28,
2013
ABSTRACT:
We consider f(R,T) theory of gravity, where R is the curvature scalar and T is the trace of the energy momentum tensor. Attention is attached to the special case, f(R,T)=R+2f(T) and two expressions are assumed for the function f(T),(a1Tn+b1)/(a2Tn+b2) and a3Inq(b3Tm), where a1,a2 ,b1,b2,n,a3 ,b3,q and m are input parameters. We observe that by adjusting suitably these input parameters, energy conditions can be satisfied. Moreover, an analysis of the perturbations and stabilities of de Sitter solutions and power-law solutions is performed with the use of the two models. The results show that for some values of the input parameters, for which energy conditions are satisfied, de Sitter solutions and power-law solutions may be stables.