Highly distorted apparent horizons and the hoop conjecture

dc.creatorYoshino, Hirotaka
dc.date2007-12-23
dc.date.accessioned2026-07-07T11:39:39Z
dc.date.available2026-07-07T11:39:39Z
dc.descriptionBy analyzing the apparent horizon (AH) formation in the collision of two pp-waves with rectangular sources in four dimensions, we study to what extent the AH can be distorted without violating the energy conditions. It is shown that the highly distorted AH can form in this system although it cannot be arbitrarily long. The hoop conjecture is examined for the formation of such highly distorted AHs, and our result gives a strong support to the hoop conjecture. We also point out the possible relation between the AH topology theorem and the hoop conjecture.
dc.description10 pages, 5 figures, submitted to PRD(R)
dc.identifierhttps://arxiv.org/abs/0712.3907
dc.identifierhttp://arxiv.org/abs/0712.3907
dc.identifierPhys.Rev.D77:041501,2008
dc.identifierdoi:10.1103/PhysRevD.77.041501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199997
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleHighly distorted apparent horizons and the hoop conjecture
dc.typetext

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