A Penrose-Type Inequality with Angular Momentum and Charge for Axisymmetric Initial Data

Autor:	Khuri, Marcus, Sokolowsky, Benjamin, Weinstein, Gilbert
Rok vydání:	2019
Předmět:	General Relativity and Quantum Cosmology Mathematical Physics Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
DOI:	10.1007/s10714-019-2600-8
Popis:	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. Comment: Gen. Relativity Gravitation, 51 (2019), no. 9, 51:118
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1902.00501 Zobrazit plný text záznamu View this record from Arxiv