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arXiv · hep-th/9905099

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

James Bardeen·Gary T. Horowitz
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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) 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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James Bardeen, Gary T. Horowitz. 1999-05-13. The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2. https://doi.org/10.1103/physrevd.60.104030

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