Slowly rotating charged fluid balls in the presence of a cosmological constant

TL;DR

This paper investigates the properties of slowly rotating charged perfect fluid spheres within a universe with a cosmological constant, demonstrating potential for matching these to asymptotically de Sitter vacuums, unlike the zero cosmological constant case.

Contribution

It extends the understanding of rotating charged fluid bodies by showing they can be matched to de Sitter vacuums, highlighting the impact of a cosmological constant.

Findings

García metric can be matched to asymptotically de Sitter vacuum in slow rotation.

The presence of a cosmological constant allows for this matching, unlike the zero case.

Potential application in modeling charged rotating bodies in cosmological backgrounds.

Abstract

We examine charged slowly rotating perfect fluids in the presence of a cosmological constant. The asymptotic form of the vacuum solutions to the linearised Einstein-Maxwell field equations is found and the possibility of matching this vacuum to the slow rotating Garc\'ia metric is considered. We show that, contrary to the case of zero cosmological constant, this Garc\'ia metric can be matched to an asymptotically de Sitter vacuum in the slow rotation limit. We conclude the Garc\'ia metric may potentially be suitable for describing a charged isolated rotating body in a cosmological background.