Charged perfect fluids in the presence of a cosmological constant

TL;DR

This paper derives new exact solutions for charged perfect fluid spheres in general relativity with a cosmological constant, exploring their properties and implications for cosmological models.

Contribution

It introduces novel exact solutions for charged fluids with a cosmological constant, extending previous models and analyzing their physical and geometric properties.

Findings

New solutions require charged Nariai metric as vacuum

Charged Einstein static universe generalizations found

Charge may mitigate the smallness problem of the cosmological constant

Abstract

We consider the static and spherically symmetric field equations of general relativity for charged perfect fluid spheres in the presence of a cosmological constant. Following work by Florides (1983) we find new exact solutions of the field equations, and discuss their mass radius ratios. These solutions, for instance, require the charged Nariai metric to be the vacuum part of the spacetime. We also find charged generalizations of the Einstein static universe and speculate that the smallness problem of the cosmological constant might become less problematic if charge is taken into account.