Reduction Arguments for Geometric Inequalities Associated With Asymptotically Hyperboloidal Slices
General Relativity and Quantum Cosmology
2016-01-27 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
We consider several geometric inequalities in general relativity involving mass, area, charge, and angular momentum for asymptotically hyperboloidal initial data. We show how to reduce each one to the known maximal (or time symmetric) case in the asymptotically flat setting, whenever a geometrically motivated system of elliptic equations admits a solution.
Keywords
Cite
@article{arxiv.1509.06255,
title = {Reduction Arguments for Geometric Inequalities Associated With Asymptotically Hyperboloidal Slices},
author = {Ye Sle Cha and Marcus Khuri and Anna Sakovich},
journal= {arXiv preprint arXiv:1509.06255},
year = {2016}
}
Comments
30 pages; final version