Non-existence of Asymptotically Flat Geons in 2+1 Gravity

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dc.creatorStevens, Kory A.
dc.creatorSchleich, Kristin
dc.creatorWitt, Donald M.
dc.date2008-09-17
dc.date2008-10-24
dc.date.accessioned2026-07-07T12:55:12Z
dc.date.available2026-07-07T12:55:12Z
dc.descriptionGeons, small topological structures that exhibit particle properties such as charge and angular momentum without the presence of matter sources, have been extensively discussed in 3+1-dimensional general relativity. Given the recent renewal of interest in 2+1 gravity, it is natural to ask whether or not the notion of geons extends to three dimensions. We prove here that, in contrast to the 3+1-dimensional case, there are no 2+1-dimensional asymptotically flat solutions of the vacuum Einstein or Einstein-Maxwell equations containing geons. In contrast, 2+1-dimensional asymptotically anti-de Sitter spacetimes can indeed contain geons; however, the geons are always hidden behind a single black hole horizon. We also prove sufficient conditions for the non-existence of 2+1-dimensional asymptotically flat geon-containing solutions.
dc.description22 pages. Typos fixed. Clarified proof of Corollary 2 provided. Discussion of applicability to other theories of 2+1 gravity, including topologically massive gravity added to conclusion
dc.identifierhttps://arxiv.org/abs/0809.3022
dc.identifierhttp://arxiv.org/abs/0809.3022
dc.identifierClass.Quant.Grav.26:075012,2009
dc.identifierdoi:10.1088/0264-9381/26/7/075012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224179
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleNon-existence of Asymptotically Flat Geons in 2+1 Gravity
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