Reconstruction of f(R,T) gravity in anisotropic cosmological models of accelerating universe

In this paper, we search the existence of Bianchi type I cosmological model in f ( R , T ) gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T . We obtain the gravitational field equations in the metric fo...

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Bibliographic Details
Published in:Astrophysics and space science 2014-10, Vol.353 (2), p.311-317
Main Authors: Hossienkhani, H., Najafi, A., Azimi, N.
Format: Article
Language:English
Subjects:
Anisotropy
Astrobiology
Astronomy
Astrophysics
Astrophysics and Astroparticles
Cosmology
Gravity
Letter
Observations and Techniques
Physics
Physics and Astronomy
Space Exploration and Astronautics
Space Sciences (including Extraterrestrial Physics
Universe
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Summary:In this paper, we search the existence of Bianchi type I cosmological model in f ( R , T ) gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T . We obtain the gravitational field equations in the metric formalism, and reconstruct the corresponding f ( R , T ) functions. Attention is attached to the special case, f ( R , T )= f 1 ( R )+ f 2 ( T ) and two examples are assumed for this model. In the first example, we consider the unification of matter dominated and accelerated phases with f ( R ) gravity in anisotropic universe, and in the second instance, model of f ( R , T ) gravity with transition of matter dominated phase to the acceleration phase is obtained. In both cases, f ( R , T ) is proportional to a power of R with exponents depending on the input parameters.
ISSN:0004-640X
1572-946X
DOI:10.1007/s10509-014-2068-7