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The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS\_2 x S^2

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Physical Review D, (13.05.1999)
DOI: 10.1103/physrevd.60.104030

Аннотация

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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