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  Reduction Arguments for Geometric Inequalities Associated With Asymptotically Hyperboloidal Slices

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-7C7C-2 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E924-F
Genre: Journal Article

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 Creators:
Cha, Ye Sle, Author
Khuri, Marcus, Author
Sakovich, Anna1, Author              
Affiliations:
1Geometric Measure Theory, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1753352              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Differential Geometry, math.DG,Mathematics, Mathematical Physics, 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.

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 Dates: 2015-09-212016-01-132016
 Publication Status: Published in print
 Pages: 30 pages; final version
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 Rev. Method: -
 Identifiers: arXiv: 1509.06255
DOI: 10.1088/0264-9381/33/3/035009
URI: http://arxiv.org/abs/1509.06255
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Title: Classical Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 33 Sequence Number: 035009 Start / End Page: - Identifier: -