Global existence of solutions of the spherically symmetric Vlasov- Einstein system with small initial data (Q1208013)
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scientific article; zbMATH DE number 165671
| Language | Label | Description | Also known as |
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| English | Global existence of solutions of the spherically symmetric Vlasov- Einstein system with small initial data |
scientific article; zbMATH DE number 165671 |
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Global existence of solutions of the spherically symmetric Vlasov- Einstein system with small initial data (English)
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16 May 1993
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The coupled Einstein-Vlasov system describes a self-gravitating collisionless gas within general relativity. The present paper establishes existence of global spherically symmetric and asymptotically flat solutions to small initial data. The proof consists in the construction of a local solution of the Cauchy problem and in some continuation argument. As one conclusion, cosmic censorship holds for the Einstein-Vlasov system.
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Einstein equations
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Vlasov equations
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spherically symmetric solutions
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cosmic censorship
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