Relativistic Solution for a Class of Static Compact Charged Star in Pseudo Spheroidal Space-Time

TL;DR

This paper derives a relativistic model for charged static compact stars using pseudo-spheroidal geometry, analyzing how geometric parameters influence physical properties and size, with implications for understanding superdense stellar objects.

Contribution

It introduces a new class of solutions to Einstein-Maxwell equations for charged stars with pseudo-spheroidal geometry, highlighting the role of spheroidicity in stellar properties and size.

Findings

Size of charged stars exceeds that of uncharged counterparts

Spheroidicity parameter significantly affects star properties

A non-linear equation of state is necessary for modeling

Abstract

Considering Vaidya-Tikekar metric, we obtain a class of solutions of the Einstein-Maxwell equations for a charged static fluid sphere. The physical 3-space (t=constant) here is described by pseudo-spheroidal geometry. The relativistic solution for the theory is used to obtain models for charged compact objects, thereafter a qualitative analysis of the physical aspects of compact objects are studied. The dependence of some of the properties of a superdense star on the parameters of the three geometry is explored. We note that the spheroidicity parameter $a$, plays an important role for determining the properties of a compact object. A non-linear equation of state is required to describe a charged compact object with pseudo-spheroidal geometry which we have shown for known masses of compact objects. We also note that the size of a static compact charged star is more than that of a static compact star without charge.