Relativistic Models Of A Class Of Compact Objects

TL;DR

This paper presents a new class of relativistic models for compact stars, characterized by four parameters, and demonstrates their physical viability and consistency with observational data.

Contribution

The paper introduces a novel set of solutions for relativistic compact stars with parameterized inhomogeneity, expanding the modeling options for such objects.

Findings

Models are physically viable across a range of parameters.

Numerical analysis confirms stability and physical plausibility.

Models align with observational stellar mass data.

Abstract

A class of general relativistic solutions in isotropic spherical polar coordinates are discussed which describe compact stars in hydrostatic equilibrium. The stellar models obtained here are characterized by four parameters, namely, $\lambda$, $k$, $A$ and $R$ of geometrical significance related with inhomogenity of the matter content of the star. The stellar models obtained using the solutions are physically viable for a wide range of values of the parameters. The physical features of the compact objects taken up here are studied numerically for a number of admissible values of the parameters. Observational stellar mass data are used to construct suitable models of the compact stars