Supersymmetric Rotating Black Hole in a Compactified Spacetime

TL;DR

This paper constructs a supersymmetric rotating black hole in a compactified spacetime, revealing that its rotation can surpass the Kerr bound, with a near horizon structure similar to the five-dimensional BMPV black hole.

Contribution

It introduces a new supersymmetric rotating black hole solution in a compactified spacetime, extending previous black hole models with novel rotational properties.

Findings

Rotation can exceed Kerr bound for small sizes

Near horizon structure matches five-dimensional BMPV black hole

Constructed by superposing multiple BMPV solutions

Abstract

We construct a supersymmetric rotating black hole with asymptotically flat four-dimensional spacetime times a circle, by superposing an infinite number of BMPV black hole solutions at the same distance in one direction. The near horizon structure is the same as that of the five-dimensional BMPV black hole. The rotation of this black hole can exceed the Kerr bound in general relativity ($q\equiv a/G_4 M=1$), if the size is small.