Brown-York mass and the thorne hoop conjecture
dc.contributor.author | Ó Murchadha, Niall | |
dc.contributor.author | Tung, Roh-Suan | |
dc.contributor.author | Xie, Naqing | |
dc.contributor.author | Malec, Edward | |
dc.contributor.funder | Science Foundation Ireland | |
dc.contributor.funder | Shanghai Education Development Foundation | |
dc.contributor.funder | National Natural Science Foundation of China | |
dc.date.accessioned | 2017-09-04T09:02:31Z | |
dc.date.available | 2017-09-04T09:02:31Z | |
dc.date.issued | 2010 | |
dc.description.abstract | The 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.sponsorship | National Natural Science Foundation of China (10771140, 10801036); Shanghai Education Development Foundation (05SG45); Science Foundation Ireland (07/RFP/PHYF148) | en |
dc.description.status | Peer reviewed | en |
dc.description.version | Published Version | en |
dc.format.mimetype | application/pdf | en |
dc.identifier.articleid | 41101 | |
dc.identifier.citation | Ó 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.104.041101 | en |
dc.identifier.doi | 10.1103/PhysRevLett.104.041101 | |
dc.identifier.issn | 0031-9007 | |
dc.identifier.issued | 4 | |
dc.identifier.journaltitle | Physical Review Letters | en |
dc.identifier.uri | https://hdl.handle.net/10468/4628 | |
dc.identifier.volume | 104 | |
dc.language.iso | en | en |
dc.publisher | American Physical Society | en |
dc.relation.uri | https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.104.041101 | |
dc.rights | © 2010, American Physical Society | en |
dc.subject | Quasi local energy | en |
dc.subject | Trapped surfaces | en |
dc.subject | general relativity | en |
dc.subject | Vacuum spacetimes | en |
dc.subject | Black hole | en |
dc.subject | Matter | en |
dc.title | Brown-York mass and the thorne hoop conjecture | en |
dc.type | Article (peer-reviewed) | en |
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