Kantowaski–Sachs Dark Energy Model in f(R,T) Gravity

Abstract

The dark energy model with EoS parameter are derived for Kantowaski-Sachs space-time filled with perfect fluid source in the frame work of f(R,T) gravity (Harko et al., arXiv:1104.2669v2 [gr-qc], 2011). To obtain a determinate solution special law of variation for Hubble’s parameter proposed by Berman [(NuvoCimentoB, 74,183(1983)] is used. We have also assumed that the scalar expansion is proportional to shear and the EoS parameter is proportional to skewness parameter. In fact, the possibility of reconstruction of the Kantowaski-Sachs cosmology with an appropriate choice of a function f(T)has been proved in f(R,T) gravity. It is observed that the EoS parameter, skewness parameters in the model turn out to be functions of cosmic time. Some physical and kinematical properties of the model are also discussed.