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arXiv · 2305.02098

Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas -- A review

Gerhard Rein
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Abstract

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.

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Gerhard Rein. 2023-05-03. Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas -- A review. https://doi.org/10.1088/1361-6382%2Facf436

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