Possible Formation of Compact Stars in $f(R,T)$ Gravity

TL;DR

This paper explores the formation and physical properties of compact stars within $f(R,T)$ gravity, analyzing models for stability, energy conditions, and redshift using an analytic solution.

Contribution

It introduces a novel analysis of compact star models in $f(R,T)$ gravity using the Krori and Barua metric, including stability and physical condition assessments.

Findings

Models satisfy regularity and causality conditions

Energy conditions are upheld in the models

Stars exhibit stable configurations with realistic redshift values

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.