Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases

By M. Houndjo. 2011

291 citations recorded by the source corpus.

We investigate the cosmological reconstruction in modified f(R, T) gravity, where R is the Ricci scalar and T the trace of the stress–energy tensor. Special attention is attached to the case in which the function f is given by f(R, T) = f1(R) + f2(T). The use of auxiliary scalar field is considered with two known examples for the scale factor corresponding to an expanding universe. In the first example, where ordinary matter is usually neglected for obtaining the unification of matter dominated and accelerated phases with f(R) gravity, it is shown in this paper that this unification can be obtained without neglecting ordinary matter. In the second example, as in f(R) gravity, model of f(R, T) gravity with transition of matter dominated phase to the acceleration phase is obtained. In both cases, linear function of the trace is assumed for f2(T) and it is obtained that f1(R) is proportional to a power of R with exponents depending on the input parameters.

View Paper: https://www.semanticscholar.org/paper/a5706065e28168389d03b60b9b08dcd27ff0ffe7

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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 ”
Testing some f(R,T) gravity models from energy conditions (2012, background): “sic. This theory also relates the cosmic acceleration, not only due to the contribution of geometrical terms, but also to the matter contents [6]. Some results have been obtained with this theory. In [7], the cosmological reconstruction of f(R,T) describing transition from matter dominated phase to ”
Generalized Curvature-Matter Couplings in Modified Gravity (2014, background): “ˇ+ 3)=3(8ˇ+ 2). 5.3. Further Applications The f(R;T) gravitational model analysed above has been given a great amount of recent attention. We will brieﬂy outline a few cosmological applications. In [131], the cosmological reconstruction of f(R;T)gravity describing matter-dominated and accelerated ph”
Cosmological and Solar System Consequences of f(R,T) Gravity Models (2014, background): “Since the introduction of this theory, its numerous aspects have been investigated, such as thermodynamics properties [69–72], energy conditions [73–75], cosmological solutions based on a homogeneous and isotropic space–time through a phase–space analysis [76], anisotropic cosmology [77–79], a wormh”