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arXiv · 1509.06255

Reduction Arguments for Geometric Inequalities Associated With Asymptotically Hyperboloidal Slices

Ye Sle Cha·Marcus Khuri·Anna Sakovich
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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.

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Ye Sle Cha, Marcus Khuri, Anna Sakovich. 2016-01-13. Reduction Arguments for Geometric Inequalities Associated With Asymptotically Hyperboloidal Slices. https://doi.org/10.1088/0264-9381%2F33%2F3%2F035009

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