An Interior model of Charged Fluid Spheres

TL;DR

This paper develops an exact, analytic interior model for charged, superdense fluid spheres using the Vaidya-Tikekar metric, providing solutions that satisfy physical and energy conditions for dense stellar objects.

Contribution

It introduces a new class of exact solutions for charged fluid spheres in general relativity using hypergeometric functions, extending previous models of dense stars.

Findings

The model satisfies hydrostatic equilibrium conditions.

All solutions meet standard energy conditions.

Configurations resemble uncharged neutron stars with consistent mass and radius.

Abstract

At constant time $t$, we examine the Vaidya-Tikekar metric characterising a three-dimensional, extremely dense spheroidal star configuration. The static, spherically symmetric solution of Einstein's field equations can be expressed in analytic closed form utilising a hypergeometric series. A relativistic, superdense state of matter at a constant $t$ is represented by the resultant model, which describes the geometry of a three-spheroid. Assuming a stellar density of $\rho_{a}= 2*10^{14} gm*cm^{-3}$, we investigate configurations whose total mass and radius vary over a range of well-defined values of the density variation parameter. Similar to an uncharged neutron star, all models possess the same total mass and boundary radius. The hypergeometric solution leads to a new class of exact, physically acceptable solutions. We show that the model satisfies the conditions of hydrostatic equilibrium and fulfils all standard energy conditions, which are verified throughout the analysis.