Interior Solutions of Fluid Sphere in f(R,T) Gravity Admitting Conformal Killing Vectors

TL;DR

This paper derives interior solutions for fluid spheres in f(R,T) gravity with conformal Killing vectors, analyzing isotropic and anisotropic cases, and assesses their physical viability and stability.

Contribution

It provides explicit interior solutions for fluid spheres in f(R,T) gravity considering conformal symmetries, including anisotropic models with linear equations of state.

Findings

Solutions satisfy energy conditions.

Models are stable under perturbations.

Graphical analysis supports physical plausibility.

Abstract

We discuss the interior solutions of fluid Sphere in f(R,T) gravity admitting conformal killing vectors, where R is Ricci scalar and T is trace of energy momentum tensor. The solutions corresponding to isotropic and anisotropic configurations have been investigated explicitly. Further, the anisotropic case has been dealt by the utilization of linear equation of state. The results for both cases have been interpreted graphically. The equation of state parameter, integration constants and other parameters of the theory have been chosen to find the central density equal to standard value of central density of the compact objects. The energy conditions as well as stability of the solutions have been investigated in the background of f(R,T) gravity.