Analysis of relativistic astrophysical configuration governed by linear equation of state

Abstract

The present paper intends to investigate the behavior of compact relativistic objects consisting of an anisotropic matter distribution with static and spherically symmetric spacetime. Further, an equation of state (EOS) is also considered, which is linear in nature, relating radial pressure and density. As part of this study, various compact stellar models are analyzed based on their physical attributes CENX − 3, 4U 1820 − 30, PSR1903 + 327, 4U 1608 − 52, PSRJ1614 − 2230 and SMCX − 4. The stellar models presented in this paper are free from singularities and possess all physically plausible features. In order to determine the stability of a compact stellar system, one must consider causality conditions, the adiabatic index, the Buchdhal condition, energy conditions, etc. The presented anisotropic compact stellar model ful lls all these criteria. Moreover, a thorough assessment of all physical properties of the solutions has been conducted for all the compact stars listed above. Based on the analysis of this model conducted analytically and graphically, it is evident that the model is regular and well-behaved. The obtained solution could explain the physics of self-gravitating objects and might be useful in strong- eld regimes where data are currently inadequate.