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Uniqueness of Extremal Kerr and Kerr-Newman Black Holes Export

(30 Jun 2009)

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We prove that the only four dimensional, stationary, rotating, asymptotically flat 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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