Brown-York mass and the thorne hoop conjecture

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dc.contributor.authorÓ Murchadha, Niall
dc.contributor.authorTung, Roh-Suan
dc.contributor.authorXie, Naqing
dc.contributor.authorMalec, Edward
dc.contributor.funderScience Foundation Ireland
dc.contributor.funderShanghai Education Development Foundation
dc.contributor.funderNational Natural Science Foundation of China
dc.date.accessioned2017-09-04T09:02:31Z
dc.date.available2017-09-04T09:02:31Z
dc.date.issued2010
dc.description.abstractThe Thorne hoop conjecture is an attempt to make precise the notion that gravitational collapse occurs if enough energy is compressed into a small enough volume, with the "size" being defined by the circumference. We can make a precise statement of this form, in spherical symmetry, using the Brown-York mass as our measure of the energy. Consider a spherical 2-surface in a spherically symmetric spacetime. If the Brown-York mass M(BY) and the circumference C satisfy C<2 pi M(BY), then the system must either have emerged from a white hole or will collapse into a black hole. We show that no equivalent result can hold true using either the Liu-Yau mass M(LY) or the Wang-Yau mass M(WY). This forms a major obstacle to any attempt to establish a Thorne-type hoop theorem in the general case based on either the Liu-Yau or the Wang-Yau mass.en
dc.description.sponsorshipNational Natural Science Foundation of China (10771140, 10801036); Shanghai Education Development Foundation (05SG45); Science Foundation Ireland (07/RFP/PHYF148)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid41101
dc.identifier.citationÓ Murchadha, N., Tung, R.-S., Xie, N. and Malec, E. (2010) 'Brown-York mass and the thorne hoop conjecture', Physical Review Letters, 104(4), 041101 (4pp). doi: 10.1103/PhysRevLett.104.041101en
dc.identifier.doi10.1103/PhysRevLett.104.041101
dc.identifier.issn0031-9007
dc.identifier.issued4
dc.identifier.journaltitlePhysical Review Lettersen
dc.identifier.urihttps://hdl.handle.net/10468/4628
dc.identifier.volume104
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.104.041101
dc.rights© 2010, American Physical Societyen
dc.subjectQuasi local energyen
dc.subjectTrapped surfacesen
dc.subjectgeneral relativityen
dc.subjectVacuum spacetimesen
dc.subjectBlack holeen
dc.subjectMatteren
dc.titleBrown-York mass and the thorne hoop conjectureen
dc.typeArticle (peer-reviewed)en
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