A generalized buchdahl model for compact stars in f (R;T) gravity

TL;DR

This paper develops a stellar model within f(R,T) gravity, specifically with a linear function, to describe compact stars, demonstrating stability and fitting observational data for various pulsars and X-ray sources.

Contribution

It introduces a new stellar model in f(R,T) gravity with a specific functional form, analyzing stability and matching observational data for compact stars.

Findings

Model explains isotropic matter distribution in compact stars.

Stability conditions are satisfied for the proposed model.

Data fitting shows good agreement with observed compact stars.

Abstract

In this paper, we study the stellar structure in terms of alternative theory of gravity specially by f (R;T) gravity theory. Here, we consider the function f (R;T) = R+2VT where R is the Ricci scalar, T is the stress-energy momentum and V is the coupling constant. Using it we developed a stellar model that briefly explains the isotropic matter distribution within the compact object filled with perfect fluid. The stability of the model is shown by several physical and stability conditions. With the accecptibility of our theory, we were able to collect data for compact stars like PSR-B0943+10, CEN X-3, SMC X-4, Her X-1 and 4U1538-52 with great accuracy.