Search: (WFRF:(Andreasson Håkan)) srt2:(2015-2019) >
Models for Self-Gra...
Models for Self-Gravitating Photon Shells and Geons
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- Andreasson, Håkan, 1966 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Fajman, D. (author)
- Universität Wien,University of Vienna
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- Thaller, Maximilian, 1990 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2016-11-22
- 2017
- English.
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In: Annales Henri Poincare. - : Springer Science and Business Media LLC. - 1424-0637 .- 1424-0661. ; 18:2, s. 681-705
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Abstract
Subject headings
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- We prove existence of spherically symmetric, static, self-gravitating photon shells as solutions to the massless Einstein-Vlasov system. The solutions are highly relativistic in the sense that the ratio 2m(r) / r is close to 8 / 9, where m(r) is the Hawking mass and r is the area radius. In 1955 Wheeler constructed, by numerical means, so-called idealized spherically symmetric geons, i.e., solutions of the Einstein-Maxwell equations for which the energy momentum tensor is spherically symmetric on a time average. The structure of these solutions is such that the electromagnetic field is confined to a thin shell for which the ratio 2m / r is close to 8 / 9, i.e., the solutions are highly relativistic photon shells. The solutions presented in this work provide an alternative model for photon shells or idealized spherically symmetric geons.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Keyword
- einstein-vlasov system
- spherically symmetric equilibria
- smooth static
- solutions
- yang-mills equations
- collisionless matter
- buchdahl
- inequality
- general-relativity
- steady-states
- existence
- Physics
Publication and Content Type
- ref (subject category)
- art (subject category)
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