A Uniqueness theorem for 5-dimensional Einstein-Maxwell black holes
Stefan Hollands, Stoytcho Yazadjiev
TL;DR
This paper extends the uniqueness theorem for 5-dimensional Einstein-Maxwell black holes, showing they are fully characterized by physical parameters and topological data, generalizing previous vacuum results.
Contribution
It generalizes the 5D black hole uniqueness theorem to include Maxwell fields, incorporating electromagnetic charges into the classification.
Findings
Black holes are characterized by mass, angular momentum, moduli, winding numbers, and electromagnetic charges.
The analysis confirms the uniqueness of 5D Einstein-Maxwell black holes under specified conditions.
The results unify the understanding of vacuum and charged black holes in higher dimensions.
Abstract
In a previous paper arXiv:0707.2775 [gr-qc] we showed that stationary asymptotically flat vacuum black hole solutions in 5 dimensions with two commuting axial Killing fields can be completely characterized by their mass, angular momentum, a set of real moduli, and a set of winding numbers. In this paper we generalize our analysis to include Maxwell fields.
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