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arXiv · 0906.2367

Uniqueness of Extremal Kerr and Kerr-Newman Black Holes

Aaron J. Amsel·Gary T. Horowitz·Donald Marolf·Matthew M. Roberts
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Abstract

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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Aaron J. Amsel, Gary T. Horowitz, Donald Marolf, Matthew M. Roberts. 2009-06-12. Uniqueness of Extremal Kerr and Kerr-Newman Black Holes. https://doi.org/10.1103/physrevd.81.024033

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