Counterrotating perfect fluid discs as sources of electrovacuum static spacetimes

TL;DR

This paper explores how certain electrovacuum static spacetimes can be modeled as counterrotating perfect fluid discs, using an inverse problem approach to identify disc sources for known solutions of Einstein-Maxwell equations.

Contribution

It introduces a detailed counterrotating model for static axially symmetric thin discs with radial pressure, applying it to four families of charged electrovacuum solutions.

Findings

Identified well-behaved counterrotating charged disc models

Extended the interpretation of electrovacuum spacetimes as fluid discs

Provided explicit models based on known metrics

Abstract

The interpretation of some electrovacuum spacetimes in terms of counterrotating perfect fluid discs is presented. The interpretation is mades by means of an "inverse problem" approach used to obtain disc sources of known static solutions of the Einstein-Maxwell equations. In order to do such interpretation, a detailed study is presented of the counterrotating model (CRM) for generic electrovacuum static axially symmetric relativistic thin discs with nonzero radial pressure. Four simple families of models of counterrotating charged discs based on Chazy-Curzon-type, Zipoy-Voorhees-type, Bonnor-Sackfield-type, and charged and magnetized Darmois electrovacuum metrics are considered where we obtain some discs with a CRM well behaved.