On uniqueness of charged Kerr-AdS black holes in five dimensions
Owen Madden, Simon F. Ross
TL;DR
This paper proves that five-dimensional charged Kerr-AdS black hole solutions are uniquely determined by their mass, charges, and angular momentum, with any extra parameters being unphysical artifacts.
Contribution
It demonstrates the removal of extraneous parameters in known solutions, establishing their uniqueness based on physical conserved quantities.
Findings
Solutions are fully specified by mass, charges, and angular momentum.
Additional parameters are coordinate artifacts, not physical hair.
The solutions are thus uniquely characterized by these conserved quantities.
Abstract
We show that the solutions describing charged rotating black holes in five-dimensional gauged supergravities found recently by Cvetic, Lu and Pope [hep-th/0406196,hep-th/0407058] are completely specified by the mass, charges and angular momentum. The additional parameter appearing in these solutions is removed by a coordinate transformation and redefinition of parameters. Thus, the apparent hair in these solutions is unphysical.
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