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J. D. Barrow and D. J. Shaw, “The Value of the Cosmological Constant,” General Relativity and Gravitation, Vol. 43, No. 10, 2011, pp. 2555-2560. doi:10.1007/s10714-011-1199-1

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• 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.