Testing some f(R,T) gravity models from energy conditions

By F. G. Alvarenga, M. Houndjo, A. V. Monwanou, J. C. Orou. 2012

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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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/27a76f91dc6ce518662a4380d7e7f35d78426c4c

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Citations in the corpus

f(R,T) Cosmological Models in Phase Space (2013, background): “Up to now, the issues which have been investigated along with this modified theory are the energy conditions [65], the thermodynamics [66–68], anisotropic cosmology [69], the cosmology in which the representation employs an auxiliary scalar field [64], the reconstruction of some cosmological models ”
Generalized Curvature-Matter Couplings in Modified Gravity (2014, background): “In [138], it was also shown that the energy conditions were satisfied for specific models.”