Existence of black holes due to concentration of angular momentum

Marcus A. Khuri

doi:10.1007/JHEP06(2015)188

Existence of black holes due to concentration of angular momentum

Marcus A. Khuri

Mathematics

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

10 Scopus citations

Abstract

Abstract: We present a general sufficient condition for the formation of black holes due to concentration of angular momentum. This is expressed in the form of a universal inequality, relating the size and angular momentum of bodies, and is proven in the context of axisymmetric initial data sets for the Einstein equations which satisfy an appropriate energy condition. A brief comparison is also made with more traditional black hole existence criteria based on concentration of mass.

Original language	English
Article number	188
Pages (from-to)	1-10
Number of pages	10
Journal	Journal of High Energy Physics
Volume	2015
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2015)188
State	Published - Jun 1 2015

Keywords

Black Holes
Classical Theories of Gravity
Spacetime Singularities

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10.1007/JHEP06(2015)188

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title = "Existence of black holes due to concentration of angular momentum",

abstract = "Abstract: We present a general sufficient condition for the formation of black holes due to concentration of angular momentum. This is expressed in the form of a universal inequality, relating the size and angular momentum of bodies, and is proven in the context of axisymmetric initial data sets for the Einstein equations which satisfy an appropriate energy condition. A brief comparison is also made with more traditional black hole existence criteria based on concentration of mass.",

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AB - Abstract: We present a general sufficient condition for the formation of black holes due to concentration of angular momentum. This is expressed in the form of a universal inequality, relating the size and angular momentum of bodies, and is proven in the context of axisymmetric initial data sets for the Einstein equations which satisfy an appropriate energy condition. A brief comparison is also made with more traditional black hole existence criteria based on concentration of mass.

KW - Black Holes

KW - Classical Theories of Gravity

KW - Spacetime Singularities

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DO - 10.1007/JHEP06(2015)188

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JF - Journal of High Energy Physics

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Existence of black holes due to concentration of angular momentum

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