Relativistic isotropic stellar model in $f(R,\,T)$ gravity with Durgapal- IV Metric

TL;DR

This paper develops a new non-singular, static stellar model within $f(R,T)$ gravity using Durgapal-IV metric potentials, analyzing physical properties and comparing results with General Relativity to demonstrate viability for compact stars.

Contribution

It introduces a novel $f(R,T)$ gravity-based stellar model employing Durgapal-IV potentials, including detailed physical analysis and comparison with GR outcomes.

Findings

Model is physically viable and free from singularities.

Physical parameters depend on the coupling parameter $$, with results consistent with observational data.

Model successfully describes compact star LMC X-4 within $f(R,T)$ gravity.

Abstract

In this work, a new static, non-singular, spherically symmetric fluid model has been obtained in the background of $f(R,\,T)$ gravity. Here we consider the isotropic metric potentials of Durgapal-IV [M.C. Durgapal, J. Phys. A {\bf 15} 2637 (1982)] solution as input to handle the Einstein field equations in $f(R,\,T)$ environment. For different coupling parameter values of $\chi$, graphical representations of the physical parameters have been demonstrated to describe the analytical results more clearly. It should be highlighted that the results of General Relativity (GR) are given by $\chi=0$. With the use of both analytical discussion and graphical illustrations, a thorough comparison of our results with the GR outcomes is also covered. The numerical values of the various physical attributes have been given for various coupling parameter $\chi$ values in order to discuss the impact of this parameter. Here we apply our solution by considering the compact star candidate LMC X-4 [M.L. Rawls et al., Astrophys. J. {\bf 730} 25 (2011)] with mass$=(1.04 \pm 0.09)M_{\odot}$ and radius $= 8.301_{-0.2}^{+0.2}$ km. respectively, to analyze both analytically and graphically. To confirm the physical acceptance of our model, we discuss certain physical properties of our obtained solution such as energy conditions, causality, hydrostatic equilibrium through a modified Tolman-Oppenheimer-Volkoff (TOV) conservation equation, pressure-density ratio, etc. Also, our solution is well-behaved and free from any singularity at the center. From our present study, it is observed that all of our obtained results fall within the physically admissible regime, indicating the viability of our model.