Rotating Black Branes wrapped on Einstein Spaces

TL;DR

This paper introduces new rotating black brane solutions in arbitrary dimensions with a cosmological constant, relevant for AdS/CFT correspondence, featuring warped products of four-dimensional and Einstein spaces.

Contribution

It provides the first general class of rotating black brane solutions with Einstein space horizons in arbitrary dimensions, extending known Kerr-AdS solutions.

Findings

Solutions are valid for any dimension d with negative cosmological constant.

The spacetimes are warped products involving Einstein spaces, not necessarily of constant curvature.

Special case includes higher-dimensional Kerr-AdS black holes.

Abstract

We present new rotating black brane solutions which solve Einstein's equations with cosmological constant $\Lambda$ in arbitrary dimension $d$. For negative $\Lambda$, the branes naturally appear in AdS supergravity compactifications, and should therefore play some role in the AdS/CFT correspondence. The spacetimes are warped products of a four-dimensional part and an Einstein space of dimension $d-4$, which is not necessarily of constant curvature. As a special subcase, the solutions contain the higher dimensional generalization of the Kerr-AdS metric recently found by Hawking et al.