Extreme Kerr throat geometry: A vacuum analog of AdS2×S2
Abstract
We study the near-horizon limit of a four-dimensional extreme rotating black hole. The limiting metric is a completely nonsingular vacuum solution, with an enhanced symmetry group SL(2,R)×U(1). We show that many of the properties of this solution are similar to the AdS2×S2 geometry arising in the near-horizon limit of extreme charged black holes. In particular, the boundary at infinity is a timelike surface. This suggests the possibility of a dual quantum mechanical description. A five-dimensional generalization is also discussed.
- Publication:
-
Physical Review D
- Pub Date:
- November 1999
- DOI:
- 10.1103/PhysRevD.60.104030
- arXiv:
- arXiv:hep-th/9905099
- Bibcode:
- 1999PhRvD..60j4030B
- Keywords:
-
- 04.70.Bw;
- 04.50.+h;
- Classical black holes;
- Gravity in more than four dimensions Kaluza-Klein theory unified field theories;
- alternative theories of gravity;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 21 pages