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arXiv · 1809.01624

Electrovacuum geometries in five dimensions

Rafael Ferraro
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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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Rafael Ferraro. 2019-01-03. Electrovacuum geometries in five dimensions. https://doi.org/10.1103/physrevd.98.124042

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