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

Title data

Rein, Gerhard:
Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas : a review.
In: Classical and Quantum Gravity. Vol. 40 (2023) . - 193001.
ISSN 1361-6382
DOI: https://doi.org/10.1088/1361-6382/acf436

Abstract in another language

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 (VP) system and the relativistic VP system into the discussion.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Einstein–Vlasov system; stability; self-gravitating collisionless mass distribution
Subject classification: 35B35, 35Q75, 35Q85
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics > Professor Applied Mathematics - Univ.-Prof. Dr. Gerhard Rein
Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 05 Oct 2023 05:31
Last Modified: 05 Oct 2023 05:31
URI: https://eref.uni-bayreuth.de/id/eprint/87041