Recurrence of geodesics in a black-hole–disc field

Conference paper

Recurrence of geodesics in a black-hole–disc field

Suková, P.; Semerák, O.

In: Proceedings of the Spanish Relativity Meeting 2011 (AIP Conference Proceedings Vol. 1458), ed. J. Beltrán Jiménez, J. A. Ruiz Cembranos, A. Dobado, A. López Maroto, A. De la Cruz Dombriz, AIP, pp. 523-526 (2012)

doi ↗

Abstract

Processes around astrophysical black holes are usually modeled with test (nongravitating)
matter and fields. However, the very fact that the holes are “visible” implies that some
matter has to be present there. Even if very thin, it can influence the metric, mainly in higher derivatives,
which should in turn affect its own behaviour, as well as motion of further (test) satellites. In
particular, the geodesic dynamics, integrable in the fields of isolated stationary black holes, should
become chaotic. Here we consider exact static, axially and reflection- symmetric space-times of a
Schwarzschild black hole surrounded by a thin disc or ring, and examine how the presence of the
additional source affects the dynamics of free test particles using recurence analysis.

Note

ISBN: 978-0-7354-1060-2

Institute authors

Semerák, Oldřich

Supported by

GACR 202/09/0772 — Current problems of gravitation, general relativity and relativistic astrophysics
GACR 205/09/H033 — General relativity and its applications in astrophysics and cosmology
GAUK 428011 — Studium astrofyzikálních důsledků obecné teorie relativity
MSM0021620860 — Fyzikální studium objektů a procesů ve sluneční soustavě a v astro-fyzikálních systémech
SVV-263301 — Aktuální problémy teoretické fyziky, astronomie a astrofyziky

BibTeX

@inproceedings{UTF495,
  author        = {Suková, P. and Semerák, O.},
  title         = {{Recurrence of geodesics in a black-hole–disc field}},
  booktitle     = {Proceedings of the Spanish Relativity Meeting 2011 (AIP Conference Proceedings Vol. 1458)},
  editor        = {J. Beltrán Jiménez, J. A. Ruiz Cembranos, A. Dobado, A. López Maroto, A. De la Cruz Dombriz},
  publisher     = {AIP},
  volume        = {1458},
  pages         = {523-526},
  year          = {2012},
  month         = {7},
  doi           = {10.1063/1.4734475},
  note          = {ISBN: 978-0-7354-1060-2},
}