Uniqueness of extremal Kerr and Kerr-Newman black holes
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 long-standing gap in the black hole uniqueness theorems.
- Publication:
-
Physical Review D
- Pub Date:
- January 2010
- DOI:
- 10.1103/PhysRevD.81.024033
- arXiv:
- arXiv:0906.2367
- Bibcode:
- 2010PhRvD..81b4033A
- Keywords:
-
- 04.70.Bw;
- Classical black holes;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 12 pages, v2: important references to earlier work added, v3: minor clarifications