Area inequalities for stable marginally trapped surfaces
Abstract
We discuss a family of inequalities involving the area, angular momentum and charges of stably outermost marginally trapped surfaces in generic non-vacuum dynamical spacetimes, with non-negative cosmological constant and matter sources satisfying the dominant energy condition. These inequalities provide lower bounds for the area of spatial sections of dynamical trapping horizons, namely hypersurfaces offering quasi-local models of black hole horizons. In particular, these inequalities represent particular examples of the extension to a Lorentzian setting of tools employed in the discussion of minimal surfaces in Riemannian contexts.
Keywords
Cite
@article{arxiv.1201.2054,
title = {Area inequalities for stable marginally trapped surfaces},
author = {José Luis Jaramillo},
journal= {arXiv preprint arXiv:1201.2054},
year = {2012}
}
Comments
22 pages, no figures; Contribution to the proceedings volume of the VI International Meeting on Lorentzian Geometry, GELOGRA'11, Granada, Spain, 6-9 September 2011