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arxiv: hep-th/9905099 · v1 · pith:TG3IUXTSnew · submitted 1999-05-13 · ✦ hep-th · gr-qc

The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS₂ x S²

classification ✦ hep-th gr-qc
keywords extremeblackdimensionalgeometryhorizonlimitnearsolution
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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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