Free motion around black holes with discs or rings: between integrability and chaos - III

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10191356" target="_blank" >RIV/00216208:11320/13:10191356 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1093/mnras/stt1587" target="_blank" >http://dx.doi.org/10.1093/mnras/stt1587</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/mnras/stt1587" target="_blank" >10.1093/mnras/stt1587</a>

Result language
angličtina
Original language name
Free motion around black holes with discs or rings: between integrability and chaos - III
Original language description
We continue the study of time-like geodesic dynamics in exact static, axially and reflection symmetric space-times describing the fields of a Schwarzschild black hole surrounded by thin discs or rings. In the first paper of this series, the rise (and decline) of geodesic chaos with ring/disc mass and position and with test particle energy was revealed on Poincare sections and on time series of position or velocity and their power spectra. In the second paper, we compared these results with those obtained by two recurrence methods, focusing on 'sticky' orbits whose different parts show different degrees of chaoticity. Here, we complement the analysis by using several Lyapunov-type coefficients which quantify the rate of orbital divergence. After comparing the results with those obtained by the previous methods, we specifically consider a system involving a black hole surrounded by a small thin disc or a large ring, having in mind the configuration which probably occurs in galactic nucle
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/GA202%2F09%2F0772" target="_blank" >GA202/09/0772: Current problems of gravitation, general relativity and relativistic astrophysics</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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