Area-angular momentum-charge inequality for stable marginally outer trapped surfaces in 4D Einstein-Maxwell-dilaton theory
General Relativity and Quantum Cosmology
2013-05-30 v2 High Energy Physics - Theory
Abstract
We derive inequalities between the area, the angular momentum and the charges for axisymmetric closed outermost stably marginally outer trapped surfaces, embedded in dynamical and, in general, non-axisymmetric spacetimes satisfying the Einstein-Maxwell-dilaton-matter equations. In proving the inequalities we assume that the dilaton potential is nonnegative and that the matter energy-momentum tensor satisfies the dominant energy condition.
Keywords
Cite
@article{arxiv.1210.4684,
title = {Area-angular momentum-charge inequality for stable marginally outer trapped surfaces in 4D Einstein-Maxwell-dilaton theory},
author = {Stoytcho S. Yazadjiev},
journal= {arXiv preprint arXiv:1210.4684},
year = {2013}
}
Comments
12 pages;v2 more detailed proof of Lemma 2, references and comments added, typos corrected