The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2

Details The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2 The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2

1999-05-13

arxiv.org/abs/hep-th/9905099v1

Phys.Rev. D60 (1999) 104030

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

10.1103/PhysRevD.60.104030

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) x U(1). We show that many of the properties of this solution are similar to the AdS_2 x S^2 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.

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