Double-extended Kerr-Schild form for $5D$ electrovacuum solutions
Marcos R. A. Arcod\'ia, Rafael Ferraro
TL;DR
This paper develops an extended Kerr-Schild approach to find five-dimensional Einstein-Maxwell-Chern-Simons black hole solutions, revealing constraints on the Chern-Simons coupling from Einstein equations.
Contribution
It introduces a double-extended Kerr-Schild form tailored for 5D electrovacuum solutions, linking the Chern-Simons coupling to electromagnetic energy-momentum.
Findings
Constraints on Chern-Simons coupling constant derived from Einstein equations
Extended Kerr-Schild form applicable to 5D black hole solutions
Insights into electromagnetic field configurations in higher dimensions
Abstract
Five-dimensional Einstein-Maxwell-Chern-Simons equations are investigated in the framework of an extended Kerr-Schild strategy to search for black holes solutions. The fulfillment of Einstein equations constrains the Chern-Simons coupling constant to a value determined by the trace of the energy-momentum tensor of the electromagnetic configuration.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Relativity and Gravitational Theory · Quantum and Classical Electrodynamics