Episodic Self-Similarity in Critical Gravitational Collapse

dc.creatorThornburg, J.
dc.creatorLechner, Ch.
dc.creatorPurrer, M.
dc.creatorAichelburg, P. C.
dc.creatorHusa, S.
dc.date2000-12-12
dc.date.accessioned2026-07-07T03:25:30Z
dc.date.available2026-07-07T03:25:30Z
dc.descriptionWe report on a new behavior found in numerical simulations of spherically symmetric gravitational collapse in self-gravitating SU(2) sigma models at intermediate gravitational coupling constants: The critical solution (between black hole formation and dispersion) closely approximates the continuously self-similar (CSS) solution for a finite time interval, then departs from this, and then returns to CSS again. This cycle repeats several times, each with a different CSS accumulation point. We have preliminary evidence that this same critical solution is also discretely self-similar (DSS) between the CSS episodes, but with an echoing period $Δ$ which varies during the evolution.
dc.descriptionLaTeX, 2 pages including 1 postscript figure; uses World Scientific style file ws-p9-75x6-50.cls (enclosed); to appear in Proceedings of the 9th Marcel Grossman Meeting; talk presented 5 July 2000 in MG9 session SG1a (Self-Gravitating Systems)
dc.identifierhttps://arxiv.org/abs/gr-qc/0012043
dc.identifierhttp://arxiv.org/abs/gr-qc/0012043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33735
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleEpisodic Self-Similarity in Critical Gravitational Collapse
dc.typetext

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