Uniqueness of Black Holes with Bubbles in Minimal Supergravity

TL;DR

This paper extends uniqueness theorems for five-dimensional black holes in minimal supergravity, incorporating non-trivial 2-cycles and multiple horizons, and identifies additional physical quantities needed for unique characterization.

Contribution

It introduces new conditions involving magnetic fluxes and domain structures to uniquely specify black holes with 2-cycles in five-dimensional supergravity.

Findings

Black holes with 2-cycles require flux measurements for uniqueness.

Multiple disconnected horizons are accommodated in the generalized theorems.

Asymptotically flat and Kaluza-Klein black holes are included.

Abstract

We generalise uniqueness theorems for non-extremal black holes with three mutually independent Killing vector fields in five-dimensional minimal supergravity in order to account for the existence of non-trivial 2-cycles in the domain of outer communication. The black hole space-times we consider may contain multiple disconnected horizons and be asymptotically flat or asymptotically Kaluza-Klein. We show that in order to uniquely specify the black hole space-time, besides providing its domain structure and a set of asymptotic and local charges, it is necessary to measure the magnetic fluxes that support the 2-cycles as well as fluxes in the two semi-infinite rotation planes of the domain diagram.