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

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.

42 pages; final version

References in corpus (4)

• Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular-momentum
• Lower Bounds for the Area of Black Holes in Terms of Mass, Charge, and Angular Momentum
• Constructing near-horizon geometries in supergravities with hidden symmetry
• Deformations of Charged Axially Symmetric Initial Data and the Mass-Angular Momentum-Charge Inequality

Cited by in corpus (4)

• Geometrical inequalities bounding angular momentum and charges in General Relativity
• Mass-Angular Momentum Inequality For Black Ring Spacetimes
• Bounding Horizon Area by Angular Momentum, Charge, and Cosmological Constant in 5-Dimensional Minimal Supergravity
• Existence and Uniqueness of Near-Horizon Geometries for 5-Dimensional Black Holes