Electrovacuum geometries in five dimensions
General Relativity and Quantum Cosmology
2019-01-07 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.1809.01624,
title = {Electrovacuum geometries in five dimensions},
author = {Rafael Ferraro},
journal= {arXiv preprint arXiv:1809.01624},
year = {2019}
}
Comments
14 pages. Minor changes; comments and references added