Isotropic uncharged model with compactness and stable con gurations

TL;DR

This paper introduces a new spherically symmetric, uncharged stellar model in general relativity that accurately describes certain compact stars and satisfies key physical conditions, with detailed analysis of its properties.

Contribution

The work presents a novel uncharged isotropic stellar model with a specific metric potential, capable of representing known compact stars and satisfying physical and stability conditions.

Findings

Model represents known compact stars like Her X-1 and 4U 1538-52.

Model satisfies energy conditions and hydrostatic equilibrium.

Includes analysis of sound velocity, redshift, and pressure-density ratio.

Abstract

In present work, we have studied a new stellar distribution model with spherically symmetric matter and an uncharged isotropic distribution in general relativity. In this model, we have considered a particular metric potential. The model is capable to represents some known compact stars like Her X-1,4U 1538-52 and SAX J1808.4-3658.The model satisfy the energy condition and hydrostatic equilibrium equation, i.e., the modified Tolman-Oppenheimer-Volkoff (TOV) equation for uncharged matter. In addition to this, we also present the velocity of sound, surface redshift, and pressure density ratio. The physical quantities such as pressure, density, redshift, etc., are compared with graphical representations that are important from theoretical and astrophysical scale.