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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 . - p. 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
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics > Professor Applied Mathematics - Univ.-Prof. Dr. Gerhard Rein
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 10 Sep 2021 06:38
Last Modified: 10 Sep 2021 06:38
URI: https://eref.uni-bayreuth.de/id/eprint/66993