Mathematics
A Penrose-Type Inequality with Angular Momenta for Black Holes with 3-Sphere Horizon Topology
Document Type
Article
Abstract
We establish a Penrose-type inequality with angular momentum for four-dimensional, biaxially symmetric, maximal, asymptotically flat initial datasets (M, g, k) for the Einstein equations with fixed angular momenta and horizon inner boundary associated to a 3-sphere outermost minimal surface. Moreover, equality holds if and only if the initial dataset is isometric to a canonical time slice of a stationary Myers-Perry black hole. © 2023, Mathematica Josephina, Inc.
Publication Title
Journal of Geometric Analysis
Publication Date
7-2023
Volume
33
Issue
7
ISSN
1050-6926
DOI
10.1007/s12220-023-01280-3
Keywords
Black holes, general relativity, initial data, Penrose inequality
Repository Citation
Alaee, Aghil and Kunduri, Hari, "A Penrose-Type Inequality with Angular Momenta for Black Holes with 3-Sphere Horizon Topology" (2023). Mathematics. 6.
https://commons.clarku.edu/mathematics/6
