Uniqueness of Extremal Kerr and Kerr-Newman Black Holes

Details Uniqueness of Extremal Kerr and Kerr-Newman Black Holes Uniqueness of Extremal Kerr and Kerr-Newman Black Holes

2009-06-12

arxiv.org/abs/0906.2367v3

Phys.Rev.D81:024033,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, v2: important references to earlier work added, v3: minor clarifications

Scientific paper

10.1103/PhysRevD.81.024033

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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