Near horizon geometry of rotating black holes in five dimensions.(English)Zbl 0956.83033
Summary: We interpret the general rotating black holes in five dimensions as rotating black strings in six dimensions. In the near-horizon limit the geometry is locally \(\text{AdS}_3\times S_3\), as in the non-rotating case. However, the global structure couples the \(\text{AdS}_3\) and the \(S_3\), giving angular velocity to the \(S_3\). The asymptotic geometry is exploited to count the microstates and recover the precise value of the Bekenstein-Hawking entropy, with rotation taken properly into account. We discuss the perturbation spectrum of the rotating black hole, and its relation to the underlying conformal field theory.
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