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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.02098 |
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| _version_ | 1866915062169468928 |
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| author | Rein, Gerhard |
| author_facet | Rein, Gerhard |
| contents | We review stability and instability results for self-gravitating matter distributions, where the matter model is a collisionless gas as described by the Vlasov equation. The focus is on the general relativistic situation, i.e., on steady states of the Einstein-Vlasov system and their stability properties. In order to put things into perspective we include the Vlasov-Poisson system and the relativistic Vlasov-Poisson system into the discussion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_02098 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas -- A review Rein, Gerhard General Relativity and Quantum Cosmology We review stability and instability results for self-gravitating matter distributions, where the matter model is a collisionless gas as described by the Vlasov equation. The focus is on the general relativistic situation, i.e., on steady states of the Einstein-Vlasov system and their stability properties. In order to put things into perspective we include the Vlasov-Poisson system and the relativistic Vlasov-Poisson system into the discussion. |
| title | Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas -- A review |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2305.02098 |