Literature by the same author
plus at Google Scholar

Bibliografische Daten exportieren
 

Collisionless Equilibria in General Relativity : Stable Configurations beyond the First Binding Energy Maximum

Title data

Günther, Sebastian ; Straub, Christopher ; Rein, Gerhard:
Collisionless Equilibria in General Relativity : Stable Configurations beyond the First Binding Energy Maximum.
In: The Astrophysical Journal. Vol. 918 (2021) Issue 2 . - 48.
ISSN 1538-4357
DOI: https://doi.org/10.3847/1538-4357/ac0eef

Abstract in another language

We numerically study the stability of collisionless equilibria in the context of general relativity. More precisely, we consider the spherically symmetric, asymptotically flat Einstein–Vlasov system in Schwarzschild and maximal areal coordinates. Our results provide strong evidence against the well-known binding energy hypothesis, which states that the first local maximum of the binding energy along a sequence of isotropic steady states signals the onset of instability. We do, however, confirm the conjecture that steady states are stable at least up to the first local maximum of the binding energy. For the first time, we observe multiple stability changes for certain models. The equations of state used are piecewise linear functions of the particle energy and provide a rich variety of different equilibria.

Further data

Item Type: Article in a journal
Refereed: Yes
Subject classification: Unified Astronomy Thesaurus concepts: General relativity (641); Gravitational collapse (662); Gravitational
instability (668); Galaxy dynamics (591)
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
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
500 Science > 520 Astronomy
Date Deposited: 10 Sep 2021 06:38
Last Modified: 15 Jun 2023 09:16
URI: https://eref.uni-bayreuth.de/id/eprint/66993