Cosmological solutions of the Vlasov-Einstein system with spherical, plane, and hyperbolic symmetry
1996 ◽
Vol 119
(4)
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pp. 739-762
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Keyword(s):
AbstractThe Vlasov-Einstein system describes a self-gravitating, collisionless gas within the framework of general relativity. We investigate the initial value problem in a cosmological setting with spherical, plane, or hyperbolic symmetry and prove that for small initial data solutions exist up to a spacetime singularity which is a curvature and a crushing singularity. An important tool in the analysis is a local existence result with a continuation criterion saying that solutions can be extended as long as the momenta in the support of the phase-space distribution of the matter remain bounded.
2004 ◽
Vol 01
(04)
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pp. 691-724
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1966 ◽
Vol 25
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pp. 46-48
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1998 ◽
Vol 235
(1-3)
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pp. 213-225
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Keyword(s):
Keyword(s):
2014 ◽
Vol 11
(S308)
◽
pp. 77-86
Keyword(s):
2016 ◽
Vol 40
◽
pp. 1660055
2019 ◽
Vol 489
(1)
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pp. 1344-1356