Bound states of spinning black holes in five dimensions

TL;DR

This paper constructs and analyzes supersymmetric bound states of spinning black holes in five dimensions, revealing their structure, regularity conditions, and entropy, with connections to string theory and higher-dimensional models.

Contribution

It introduces explicit supergravity solutions for five-dimensional spinning black hole bound states derived from six-dimensional supergravity, including detailed regularity and entropy analysis.

Findings

Bound states supported by fluxes and KK momentum

Explicit solutions for two black hole bound states

Comparison of entropy with other BPS solutions

Abstract

We find and study supergravity BPS bound states of five-dimensional spinning black holes in asymptotically flat spacetime. These solutions follow from multi-string solutions in six-dimensional minimal supergravity and can be uplifted to F-theory or M-theory. We analyze the regularity conditions and work out the example of a bound state of two black holes in detail. The bound state is supported by fluxes through nontrivial topologies exterior to the horizons and KK momentum. Furthermore, we determine the entropy and compare with other macroscopic BPS solutions.