Proof of the angular momentum-mass inequality for axisymmetric black holes

Simple item page
dc.creatorDain, Sergio
dc.date2006-06-23
dc.date2007-05-08
dc.date.accessioned2026-07-07T12:16:45Z
dc.date.available2026-07-07T12:16:45Z
dc.descriptionWe prove that extreme Kerr initial data set is a unique absolute minimum of the total mass in a (physically relevant) class of vacuum, maximal, asymptotically flat, axisymmetric data for Einstein equations with fixed angular momentum. These data represent non-stationary, axially symmetric, black holes. As a consequence, we obtain that any data in this class satisfy the inequality $\sqrt{J} \leq m$, where $m$ and $J$ are the total mass and angular momentum of the spacetime.
dc.descriptionThe statement before Eq. (17) in page 5 in the previous version is incorrect. This mistake is corrected in the new version
dc.identifierhttps://arxiv.org/abs/gr-qc/0606105
dc.identifierhttp://arxiv.org/abs/gr-qc/0606105
dc.identifierJ.Diff.Geom.79:33-67,2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211902
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleProof of the angular momentum-mass inequality for axisymmetric black holes
dc.typetext

Files

Collections

arXiv