Hoop Conjecture and Black Holes on a Brane

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dc.creatorNakamura, Kouji
dc.creatorNakao, Ken-ichi
dc.creatorMishima, Takeshi
dc.date2003-02-14
dc.date.accessioned2026-07-07T11:08:41Z
dc.date.available2026-07-07T11:08:41Z
dc.descriptionThe initial data of gravity for a cylindrical matter distribution confined to a brane are studied in the framework of the single-brane Randall-Sundrum scenario. In this scenario, the 5-dimensional nature of gravity appears in the short-range gravitational interaction. We find that a sufficiently thin configuration of matter leads to the formation of a marginal surface, even if the configuration is infinitely long. This implies that the hoop conjecture proposed by Thorne does not hold on the brane: Even if a mass $M$ does not become compacted into a region whose circumference ${\cal C}$ in every direction satisfies ${\cal C}> 4πGM$, black holes with horizons can form in the Randall-Sundrum scenario.
dc.description7 pages, 1 figure, To be published in Progress of Theoretical Physics Supplement No. 148 "Brane World: New Perspective in Cosmology"
dc.identifierhttps://arxiv.org/abs/gr-qc/0302058
dc.identifierhttp://arxiv.org/abs/gr-qc/0302058
dc.identifierProg.Theor.Phys.Suppl.148:291-297,2003
dc.identifierdoi:10.1143/PTPS.148.291
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190215
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleHoop Conjecture and Black Holes on a Brane
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