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Uniqueness of Extremal Kerr and Kerr-Newman Black Holes
classification
🌀 gr-qc
hep-th
keywords
blackextremaluniquenessholekerrkerr-newmanprovesolution
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We prove that the only four dimensional, stationary, rotating, asymptotically flat (analytic) vacuum black hole with a single degenerate horizon is given by the extremal Kerr solution. We also prove a similar uniqueness theorem for the extremal Kerr-Newman solution. This closes a longstanding gap in the black hole uniqueness theorems.
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Forward citations
Cited by 1 Pith paper
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Taming the Aretakis instability: extremal black holes with multi-degenerate horizons
Black holes with infinitely degenerate horizons are proposed to be stable against Aretakis instability, potentially serving as end states.
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