Transformations of Asymptotically AdS Hyperbolic Initial Data and Associated Geometric Inequalities
General Relativity and Quantum Cosmology
2017-12-22 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We construct transformations which take asymptotically AdS hyperbolic initial data into asymptotically flat initial data, and which preserve relevant physical quantities. This is used to derive geometric inequalities in the asymptotically AdS hyperbolic setting from counterparts in the asymptotically flat realm, whenever a geometrically motivated system of elliptic equations admits a solution. The inequalities treated here relate mass, angular momentum, charge, and horizon area.
Keywords
Cite
@article{arxiv.1707.09398,
title = {Transformations of Asymptotically AdS Hyperbolic Initial Data and Associated Geometric Inequalities},
author = {Ye Sle Cha and Marcus A. Khuri},
journal= {arXiv preprint arXiv:1707.09398},
year = {2017}
}
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38 pages