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

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About: Free motion around black holes with discs or rings: between integrability and chaos - I Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Geodesic dynamics is regular in the fields of isolated stationary black holes. However, due to the presence of unstable periodic orbits, it easily becomes chaotic under various perturbations. Here, we examine what amount of stochasticity is induced in Schwarzschild space-time by the presence of an additional source. Following astrophysical motivation, we specifically consider thin rings or discs lying symmetrically around the hole, and describe the total field in terms of exact static and axially symmetric solutions of Einstein's equations. The growth of chaos in time-like geodesic motion is illustrated on Poincare sections, on time series of position or velocity and their Fourier spectra, and on time evolution of the orbital 'latitudinal action'. The results are discussed in terms of dependence on the mass and position of the ring/disc and on geodesic parameters (energy and angular momentum). Geodesic dynamics is regular in the fields of isolated stationary black holes. However, due to the presence of unstable periodic orbits, it easily becomes chaotic under various perturbations. Here, we examine what amount of stochasticity is induced in Schwarzschild space-time by the presence of an additional source. Following astrophysical motivation, we specifically consider thin rings or discs lying symmetrically around the hole, and describe the total field in terms of exact static and axially symmetric solutions of Einstein's equations. The growth of chaos in time-like geodesic motion is illustrated on Poincare sections, on time series of position or velocity and their Fourier spectra, and on time evolution of the orbital 'latitudinal action'. The results are discussed in terms of dependence on the mass and position of the ring/disc and on geodesic parameters (energy and angular momentum). (en)
Title	Free motion around black holes with discs or rings: between integrability and chaos - I Free motion around black holes with discs or rings: between integrability and chaos - I (en)
skos:prefLabel	Free motion around black holes with discs or rings: between integrability and chaos - I Free motion around black holes with discs or rings: between integrability and chaos - I (en)
skos:notation	RIV/00216208:11320/10:10079213!RIV11-GA0-11320___
http://linked.open...avai/riv/aktivita	P S Z
http://linked.open...avai/riv/aktivity	P(GA202/09/0772), P(LC06014), S, Z(MSM0021620860)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Semerák, Oldřich Suková, Petra
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	259787
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/10:10079213
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	relativity; gravitation; black hole physics (en)
http://linked.open.../riv/klicoveSlovo	black hole physics gravitation relativity
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[A8F887592288]
http://linked.open...i/riv/nazevZdroje	Monthly Notices of the Royal Astronomical Society
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Current problems of gravitation, general relativity and relativistic astrophysics Center for Theoretical Astrophysics
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	404
http://linked.open...iv/tvurceVysledku	Suková, Petra Semerák, Oldřich
http://linked.open...ain/vavai/riv/wos	000277329000001
http://linked.open...n/vavai/riv/zamer	Fyzikální studium objektů a procesů ve sluneční soustavě a v astrofyzikálních systémech
issn	0035-8711
number of pages	30 (xsd:int)
http://localhost/t...ganizacniJednotka	11320

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