A Uniqueness theorem for black holes with Kaluza-Klein asymptotic in 5D Einstein-Maxwell gravity
Stoytcho S. Yazadjiev
TL;DR
This paper proves a uniqueness theorem for stationary multi black hole configurations in 5D Einstein-Maxwell gravity with Kaluza-Klein asymptotics, showing they are uniquely determined by specific physical parameters.
Contribution
It establishes a new uniqueness theorem for multi black holes in 5D Einstein-Maxwell gravity with Kaluza-Klein asymptotics, extending previous results to include magnetic charges and flux.
Findings
Black hole configurations are uniquely specified by interval structure, angular momenta, magnetic charges, and flux.
The theorem applies to a specific sector of 5D Einstein-Maxwell gravity.
A generalization to Einstein-Maxwell-dilaton gravity is also provided.
Abstract
In the present paper we prove a uniqueness theorem for stationary multi black hole configurations with Kaluza-Klein asymptotic in a certain sector of 5D Einstein-Maxwell gravity. We show that such multi black hole configurations are uniquely specified by the interval structure, angular momenta of the horizons, magnetic charges and the magnetic flux. A straightforward generalization of the uniqueness theorem for 5D Einstein-Maxwell-dilaton gravity is also given.
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