Geodesic chaos around black holes with discs

Conference paper

Geodesic chaos around black holes with discs

Suková, P.; Semerák, O.

In: Proceedings of the Twelfth Marcel Grossmann Meeting (Paris 2009), ed. T. Damour, R. Jantzen, R. Ruffini, World Scientific, Singapore, pp. 1785-1787 (2012)

doi ↗

Abstract

In the fields of isolated stationary black holes, the geodesic dynamics is regular. However, due to the presence of unstable periodic orbits it easily becomes chaotic under various perturbations. Here we study the chaos induced by the presence of an additional source in the Schwarzschild space-time. Following the astrophysical motivation, we consider thin discs or rings lying symmetrically around the hole and describe the total fields in terms of exact static and axially symmetric solutions of Einstein's equations, Fourier spectra of the "vertical"-position time series and evolution of the test-particle "latitudinal action".

Note

ISBN: 978-981-4374-51-4

Institute authors

Semerák, Oldřich

Supported by

GACR 202/09/0772 — Current problems of gravitation, general relativity and relativistic astrophysics
GAUK 86508 — Vybrané problémy relativistické astrofyziky
LC06014 — Centrum teoretické astrofyziky
MSM0021620860 — Fyzikální studium objektů a procesů ve sluneční soustavě a v astro-fyzikálních systémech

BibTeX

@inproceedings{UTF496,
  author        = {Suková, P. and Semerák, O.},
  title         = {{Geodesic chaos around black holes with discs}},
  booktitle     = {Proceedings of the Twelfth Marcel Grossmann Meeting (Paris 2009)},
  editor        = {T. Damour, R. Jantzen, R. Ruffini},
  publisher     = {World Scientific},
  address       = {Singapore},
  pages         = {1785-1787},
  year          = {2012},
  month         = {2},
  doi           = {10.1142/9789814374552\_0323},
  note          = {ISBN: 978-981-4374-51-4},
}