A Penrose-Type Inequality with Angular Momentum and Charge for Axisymmetric Initial Data
General Relativity and Quantum Cosmology
2021-01-19 v3 Mathematical Physics
Differential Geometry
math.MP
Abstract
A lower bound for the ADM mass is established in terms of angular momentum, charge, and horizon area in the context of maximal, axisymmetric initial data for the Einstein-Maxwell equations which satisfy the weak energy condition. If, on the horizon, the given data agree to a certain extent with the associated model Kerr-Newman data, then the inequality reduces to the conjectured Penrose inequality with angular momentum and charge. In addition, a rigidity statement is also proven whereby equality is achieved if and only if the data set arises from the canonical slice of a Kerr-Newman spacetime.
Keywords
Cite
@article{arxiv.1902.00501,
title = {A Penrose-Type Inequality with Angular Momentum and Charge for Axisymmetric Initial Data},
author = {Marcus Khuri and Benjamin Sokolowsky and Gilbert Weinstein},
journal= {arXiv preprint arXiv:1902.00501},
year = {2021}
}
Comments
Gen. Relativity Gravitation, 51 (2019), no. 9, 51:118