Some new static charged spheres

TL;DR

This paper introduces new exact solutions to the Einstein-Maxwell equations for static, charged, spherically symmetric bodies, potentially modeling realistic relativistic compact stars with specific parameter choices.

Contribution

It provides a generalized class of solutions for charged spheres in Einstein-Maxwell theory, extending previous models with closed-form expressions and physical plausibility.

Findings

Solutions include previously known charged models as special cases

Models can describe realistic matter distributions

Solutions are expressed in elementary functions

Abstract

We present new exact solutions for the Einstein-Maxwell system in static spherically symmetric interior spacetimes. For a particular form of the gravitational potentials and the electric field intensity, it is possible to integrate the system in closed form. For specific parameter values it is possible to find new exact models for the Einstein-Maxwell system in terms of elementary functions. Our model includes a particular charged solution found previously; this suggests that our generalised solution could be used to describe a relativistic compact sphere. A physical analysis indicates that the solutions describe realistic matter distributions.