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

Titelangaben

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

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.

Weitere Angaben

Publikationsform: Artikel in einer Zeitschrift
Begutachteter Beitrag: Ja
Keywords: Einstein–Vlasov system; stability; self-gravitating collisionless mass distribution
Fachklassifikationen: 35B35, 35Q75, 35Q85
Institutionen der Universität: Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Professur Angewandte Mathematik (Angewandte Analysis) > Professur Angewandte Mathematik (Angewandte Analysis) - Univ.-Prof. Dr. Gerhard Rein
Profilfelder > Advanced Fields > Nichtlineare Dynamik
Titel an der UBT entstanden: Ja
Themengebiete aus DDC: 500 Naturwissenschaften und Mathematik > 510 Mathematik
Eingestellt am: 05 Okt 2023 05:31
Letzte Änderung: 05 Okt 2023 05:31
URI: https://eref.uni-bayreuth.de/id/eprint/87041