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

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dc.creatorDain, Sergio
dc.date2007-07-20
dc.date.accessioned2026-07-07T11:41:32Z
dc.date.available2026-07-07T11:41:32Z
dc.descriptionIn 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.
dc.description8 pages, Honorable Mention in the Gravity Research Foundation Essay Competition 2007
dc.identifierhttps://arxiv.org/abs/0707.3118
dc.identifierhttp://arxiv.org/abs/0707.3118
dc.identifierInt.J.Mod.Phys.D17:519-523,2008
dc.identifierdoi:10.1142/S021827180801219X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200570
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe inequality between mass and angular momentum for axially symmetric black holes
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