LOCAL EXISTENCE AND CONTINUATION CRITERIA FOR SOLUTIONS OF THE EINSTEIN–VLASOV-SCALAR FIELD SYSTEM WITH SURFACE SYMMETRY
2004 ◽
Vol 01
(04)
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pp. 691-724
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Keyword(s):
We prove in the cases of spherical, plane and hyperbolic symmetry a local in time existence theorem and continuation criteria for cosmological solutions of the Einstein–Vlasov-scalar field system, with the sources generated by a distribution function and a scalar field, subject to the Vlasov and wave equations respectively. This system describes the evolution of self-gravitating collisionless matter and scalar waves within the context of general relativity. In the case where the only source is a scalar field it is shown that a global existence result can be deduced from the general theorem.
1996 ◽
Vol 119
(4)
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pp. 739-762
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Keyword(s):
2008 ◽
Vol 173
(3)
◽
pp. 477-496
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Keyword(s):
2011 ◽
Vol 03
◽
pp. 87-97
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Keyword(s):
Keyword(s):
2011 ◽
Vol 271-273
◽
pp. 791-796
Keyword(s):