Counterrotating perfect fluid discs as sources of electrovacuum static spacetimes

Abstract

The interpretation of some electrovacuum spacetimes in terms of counterrotating perfect fluid discs is presented. The interpretation is made 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 an 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 well-behaved CRM.