Counting the Microstates of a Kerr Black Hole

Abstract

We show that an extremal Kerr black hole, appropriately lifted to M-theory, can be transformed to a Kaluza-Klein black hole in M-theory, or a D0-D6 charged black hole in string theory. Since all the microstates of the latter have recently been identified, one can exactly reproduce the entropy of an extremal Kerr black hole. We also show that the topology of the event horizon is not well defined in M-theory.

10 pages, 2 figures

References in corpus (2)

• Near-horizon symmetries of extremal black holes
• Statistical Description of Rotating Kaluza-Klein Black Holes

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• Holographic Duals of Kaluza-Klein Black Holes
• Extremal vacuum black holes in higher dimensions
• Microscopic Theory of Black Hole Superradiance
• Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes
• Counting the microstates of a vacuum black ring
• Exact Microscopic Entropy of Non-Supersymmetric Extremal Black Rings
• Black Holes, Entropy, and Information