A generalized Buchdahl model for compact stars in f(R, T) gravity

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 + 2 sigma T where R is the Ricci scalar, T is the stress-energy momentum and sigma 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 acceptability 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. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper investigates the stellar structure using the f(R, T) gravity theory, specifically considering the function f(R, T) = R + 2 sigma T. A stellar model is developed to explain the isotropic matter distribution within compact objects filled with perfect fluid, and its stability is demonstrated through various physical and stability conditions. The theory is shown to be acceptable by accurately collecting data for compact stars like PSR-B0943+10, CEN X-3, SMC X-4, Her X-1, and 4U1538-52.