Possible formation of compact stars in f ( R , T ) $f(R,T)$ gravity

Abstract

This paper constitutes the investigations regarding possible formation of compact stars in $f(R,T)$ theory of gravity, where $R$ is Ricci scalar and $T$ is trace of energy momentum tensor. In this connection, we use analytic solution of Krori and Barua metric (Krori and Barua 1975)to spherically symmetric anisotropic star in context of $f(R,T)$ gravity. The masses and radii of compact stars models namely model $1$, model$ 2$ and model $3$ are employed to incorporate with unknown constants in Krori and Barua metric. The physical features such as regularity at center, anisotropy measure, casuality and well-behaved condition of above mentioned class of compact starts are analyzed. Moreover, we have also discussed energy conditions, stability and surface redshift in $f(R,T)$ gravity.