Homogeneous hypersurface with viscous dark energy in Lyra geometry and f(R,T) gravity

Abstract

In this paper we explore homogeneous hypersurface space–time with viscous dark energy in Lyra geometry and $f(R,T)$ theory of gravitation. The solution of field equations of Lyra geometry are obtained by assuming adhoc relation of metric potential and the solutions of field equation in $f(R,T)$ theory of gravity are obtained by volumetric exponential expansion. It is observed that scalar field and trace of energy momentum tensor substantially effect on physical parameter. Energy conditions are also satisfied. State finder pair $\left(r,s\right)$ is analysed in detail.