The inequality between mass and angular momentum for axially symmetric black holes

Details The inequality between mass and angular momentum for axially symmetric black holes The inequality between mass and angular momentum for axially symmetric black holes

Publishing date

2007-07-20

URL

arxiv.org/abs/0707.3118v1

Journals

Int.J.Mod.Phys.D17:519-523,2008

Science

Astronomy and Astrophysics

Field

Astrophysics

SubField

General Relativity and Quantum Cosmology

Additional info

8 pages, Honorable Mention in the Gravity Research Foundation Essay Competition 2007

Type

Scientific paper

Digital Object Identifier

10.1142/S021827180801219X

Abstract

In this essay I first discuss the physical relevance of the inequality $m\geq \sqrt{|J|}$ for axially symmetric (non-stationary) black holes, where m is the mass and J the angular momentum of the spacetime. Then, I present a proof of this inequality for the case of one spinning black hole. The proof involves a remarkable characterization of the extreme Kerr black hole as an absolute minimum of the total mass. Finally, I conjecture on the physical implications of this characterization for the non linear stability problem for black holes.

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