Near Horizon Geometry of Rotating Black Holes in Five Dimensions

TL;DR

This paper studies the near horizon geometry of five-dimensional rotating black holes, revealing a coupled AdS_3 x S_3 structure that accounts for rotation and allows microstate counting matching the Bekenstein-Hawking entropy.

Contribution

It introduces a novel interpretation of rotating black holes as rotating black strings in six dimensions and analyzes their near horizon geometry and microstates.

Findings

Near horizon geometry is locally AdS_3 x S_3 with angular velocity effects.

Microstate counting matches the Bekenstein-Hawking entropy.

Perturbation spectrum relates to the conformal field theory.

Abstract

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 AdS_3 x S_3, as in the nonrotating case. However, the global structure couples the 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.