A Penrose-type inequality with angular momenta for black holes with 3-sphere horizon topology
General Relativity and Quantum Cosmology
2023-11-07 v2 Differential Geometry
Abstract
We establish a Penrose-type inequality with angular momenta for four dimensional, biaxially symmetric, maximal, asymptotically flat initial data sets 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 data set is isometric to a canonical time slice of a stationary Myers-Perry black hole.
Keywords
Cite
@article{arxiv.2205.09737,
title = {A Penrose-type inequality with angular momenta for black holes with 3-sphere horizon topology},
author = {Aghil Alaee and Hari K. Kunduri},
journal= {arXiv preprint arXiv:2205.09737},
year = {2023}
}
Comments
23 pages, v2: minor corrections, agrees with published version