Penrose-like inequality with angular momentum for minimal surfaces
General Relativity and Quantum Cosmology
2018-01-26 v2
Abstract
In axially symmetric spacetimes the Penrose inequality can be strengthened to include angular momentum. We prove a version of this inequality for minimal surfaces, more precisely, a lower bound for the ADM mass in terms of the area of a minimal surface, the angular momentum and a particular measure of the surface size. We consider axially symmetric and asymptotically flat initial data, and use the monotonicity of the Geroch quasi-local energy on 2-surfaces along the inverse mean curvature flow.
Cite
@article{arxiv.1708.04646,
title = {Penrose-like inequality with angular momentum for minimal surfaces},
author = {Pablo Anglada},
journal= {arXiv preprint arXiv:1708.04646},
year = {2018}
}