A class of charged relativistic spheres

TL;DR

This paper introduces a new class of exact solutions to Einstein-Maxwell equations for modeling charged relativistic spheres, encompassing previous models for uncharged and charged objects, with solutions expressed via special functions.

Contribution

It presents novel exact solutions to Einstein-Maxwell equations for charged spheres, expanding the set of models for relativistic stellar objects.

Findings

Solutions can be expressed in terms of special functions.

Particular parameter choices yield elementary function solutions.

Includes models for uncharged neutron stars and charged isotropic spheres.

Abstract

We find a new class of exact solutions to the Einstein-Maxwell equations which can be used to model the interior of charged relativistic objects. These solutions can be written in terms of special functions in general; for particular parameter values it is possible to find solutions in terms of elementary functions. Our results contain models found previously for uncharged neutron stars and charged isotropic spheres.