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

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00007645
URN to cite this document: urn:nbn:de:bvb:703-epub-7645-9

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 der Verlagsversion: https://doi.org/10.1088/1361-6382/acf436

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

Further data

Item Type:	Article in a journal
Keywords:	Einstein–Vlasov system; stability; self-gravitating collisionless mass distribution
Subject classification:	35B35, 35Q75, 35Q85
DDC Subjects:	500 Science > 510 Mathematics
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 Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics Profile Fields Profile Fields > Advanced Fields
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-7645-9
Date Deposited:	27 Mar 2024 07:51
Last Modified:	27 Mar 2024 07:51
URI:	https://epub.uni-bayreuth.de/id/eprint/7645

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