Electrovacuum geometries in five dimensions
Abstract
The Chong-Cvetic-Lu-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 Plebanski-Demianski 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 non-static electrovacuum solutions to 5D EMCS equations are obtained, namely Kundt spacetimes sourced by a pure-radiation field.
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