Superposition of a static perfect fluid and a radial elecric field

TL;DR

This paper derives a family of solutions describing a spherically symmetric spacetime combining a static perfect fluid and a radial electric field, expanding the understanding of Einstein-Maxwell configurations.

Contribution

It introduces a two-parameter set of solutions for superimposing a neutral fluid with an electric field in spherical symmetry, with novel electromagnetic potential forms.

Findings

Derived explicit solutions for different electric potential forms.

Extended the class of known Einstein-Maxwell solutions with fluid and electric field.

Provided mathematical framework for further physical interpretation.

Abstract

We obtain a two-parameter set of solutions, which represents a spherically symmetric space-time with a superposition of a neutral fluid and an electric field. The electromagnetic four-potential of this Einstein-Maxwell space-time is taken in the form A=(q/n)(r^n)dt, when n=/0 and A=q*ln(r)dt, when n=0 (where q and n are arbitrary constants)