Reduction arguments for geometric inequalities associated with asymptotically hyperboloidal slices

Ye Sle Cha; Marcus Khuri; Anna Sakovich

doi:10.1088/0264-9381/33/3/035009

Reduction arguments for geometric inequalities associated with asymptotically hyperboloidal slices

Ye Sle Cha
, Marcus Khuri
, Anna Sakovich

Mathematics

Stony Brook University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Article number	035009
Journal	Classical and Quantum Gravity
Volume	33
Issue number	3
DOIs	https://doi.org/10.1088/0264-9381/33/3/035009
State	Published - Jan 12 2016

Keywords

asymptotically hyperboloidal
black hole
geometric inequalities

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10.1088/0264-9381/33/3/035009

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title = "Reduction arguments for geometric inequalities associated with asymptotically hyperboloidal slices",

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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author = "Cha, \{Ye Sle\} and Marcus Khuri and Anna Sakovich",

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AU - Cha, Ye Sle

AU - Khuri, Marcus

AU - Sakovich, Anna

PY - 2016/1/12

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N2 - 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.

AB - 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.

KW - asymptotically hyperboloidal

KW - black hole

KW - geometric inequalities

UR - https://www.scopus.com/pages/publications/84954349278

U2 - 10.1088/0264-9381/33/3/035009

DO - 10.1088/0264-9381/33/3/035009

M3 - Article

SN - 0264-9381

VL - 33

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 3

M1 - 035009

ER -

Reduction arguments for geometric inequalities associated with asymptotically hyperboloidal slices

Abstract

Keywords

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