A new parametric class of exact solutions in general relativity representing perfect static fluid balls

TL;DR

This paper introduces a new parametric class of exact solutions in general relativity for modeling perfect fluid balls, enabling the construction of neutron star models with high mass and specific radius characteristics.

Contribution

It presents a novel parametric class of solutions for perfect fluid spheres in general relativity, allowing for models with finite mass and radius despite infinite central pressure and density.

Findings

Maximized neutron star mass to 3.24MQ and 3.48MQ.

Constructed models with radii of 32.09 km and 34.36 km.

Achieved constant surface redshift of 0.5811.

Abstract

We present a new parametric class of spherically symmetric analytic solutions of the general relativistic field equations in canonical coordinates, which corresponds to causal models of perfect fluid balls. These solutions describe perfect fluid balls with infinite central pressure and infinite central density though their ratio is positively finite and less then one. From the solutions of this class we have constructed two causal models in which outmarch of pressure, density is positive and monotonically decreasing and pressure-density ratio is less than one throughout with in the balls. Corresponding to these models we have maximized the Neutron star masses 3.24MQ and 3.48MQ with the linear dimensions 32.09Kms and 34.36Kms respectively with equal surface red shift 0.5811.