## Title data

Günther, Sebastian ; Körner, Jacob ; Lebeda, Timo ; Pötzl, Bastian ; Rein, Gerhard ; Straub, Christopher ; Weber, Jörg:

**A numerical stability analysis for the Einstein–Vlasov system.**

*In:* Classical and Quantum Gravity.
Vol. 38
(2021)
Issue 3
.
- No. 035003.

ISSN 1361-6382

DOI: https://doi.org/10.1088/1361-6382/abcbdf

## Related URLs

## Abstract in another language

We investigate stability issues for steady states of the spherically symmetric Einstein-Vlasov system numerically in Schwarzschild, maximal areal, and Eddington-Finkelstein coordinates. Across all coordinate systems we confirm the conjecture that the first binding energy maximum along a one-parameter family of steady states signals the onset of instability. Beyond this maximum perturbed solutions either collapse to a black hole, form heteroclinic orbits, or eventually fully disperse. Contrary to earlier research, we find that a negative binding energy does not necessarily correspond to fully dispersing solutions. We also comment on the so-called turning point principle from the viewpoint of our numerical results. The physical reliability of the latter is strengthened by obtaining consistent results in the three different coordinate systems and by the systematic use of dynamically accessible perturbations.

## 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 Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 28 Jan 2021 11:06 |

Last Modified: | 22 Feb 2021 08:46 |

URI: | https://eref.uni-bayreuth.de/id/eprint/62532 |