Relating Mass to Angular Momentum and Charge in 5-Dimensional Minimal Supergravity

TL;DR

This paper proves a mass-angular momentum-charge inequality for 5D supergravity black holes, identifies the unique minimizers as charged Myers-Perry black holes, and characterizes BMPV black holes through variational methods.

Contribution

It establishes a new inequality relating mass, angular momentum, and charge in five-dimensional supergravity and characterizes the extremal solutions uniquely.

Findings

Charged Myers-Perry black holes are the unique minimizers.

A rigidity statement for the BPS bound is proven.

A variational characterization of BMPV black holes is provided.

Abstract

We prove a mass-angular momentum-charge inequality for a broad class of maximal, asymptotically flat, bi-axisymmetric initial data within the context of five-dimensional minimal supergravity. We further show that the charged Myers-Perry black hole initial data are the unique minimizers. In addition, we establish a rigidity statement for the relevant BPS bound, and give a variational characterization of BMPV black holes.