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Reduction Arguments for Geometric Inequalities Associated With Asymptotically Hyperboloidal Slices

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Sakovich,  Anna
Geometric Measure Theory, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1509.06255.pdf
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Citation

Cha, Y. S., Khuri, M., & Sakovich, A. (2016). Reduction Arguments for Geometric Inequalities Associated With Asymptotically Hyperboloidal Slices. Classical Quantum Gravity, 33: 035009. doi:10.1088/0264-9381/33/3/035009.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-7C7C-2
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.