Electrovacuum geometries in five dimensions

Abstract

The Chong-Cvetič-Lü-Pope 5D rotating charged black hole proves to belong to a set of solutions to Einstein-Maxwell-Chern-Simons (EMCS) equations that share the electromagnetic potential and the Chern-Simons coupling constant but differ in the Kretschmann invariant. This one-parametric family of solutions is found by proposing a properly deformed Plebański-Demiański Ansatz for modeling the metric tensor. While no black-hole solutions for other values of the Chern-Simons coupling constant are found within this Ansatz, another type of nonstatic electrovacuum solutions to 5D EMCS equations are obtained, namely Kundt spacetimes sourced by a pure-radiation field.