Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes. II

TL;DR

This paper demonstrates how to use two theorems from previous work to construct exact solutions of stationary axisymmetric electrovac spacetimes that exhibit equatorial symmetry or antisymmetry.

Contribution

It introduces a method to explicitly construct equatorially symmetric or antisymmetric solutions based on earlier theorems, advancing the understanding of spacetime symmetries.

Findings

Explicit construction of symmetric solutions

Explicit construction of antisymmetric solutions

Enhanced understanding of spacetime symmetries

Abstract

In this second paper devoted to the equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes we show how two theorems proved in our previous paper (Ernst, Manko and Ruiz 2006 Class. Quantum Grav. 23, 4945) can be utilized to construct exact solutions that are equatorially symmetric or antisymmetric.