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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10321586" target="_blank" >RIV/00216208:11320/15:10321586 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1093/mnras/stv1148" target="_blank" >http://dx.doi.org/10.1093/mnras/stv1148</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1093/mnras/stv1148" target="_blank" >10.1093/mnras/stv1148</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

The dynamical system studied in previous papers of this series, namely a bound time-like geodesic motion in the exact static and axially symmetric space-time of an (originally) Schwarzschild black hole surrounded by a thin disc or ring, is considered totest whether the often employed 'pseudo-Newtonian' approach (resorting to Newtonian dynamics in gravitational potentials modified to mimic the black hole field) can reproduce phase-space properties observed in the relativistic treatment. By plotting Poincare surfaces of section and using two recurrence methods for similar situations as in the relativistic case, we find similar tendencies in the evolution of the phase portrait with parameters (mainly with mass of the disc/ring and with energy of the orbiters), namely those characteristic to weakly non-integrable systems. More specifically, this is true for the Paczynski-Wiita and a newly suggested logarithmic potential, whereas the Nowak-Wagoner potential leads to a different picture. Th

Název v anglickém jazyce

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

Popis výsledku anglicky

The dynamical system studied in previous papers of this series, namely a bound time-like geodesic motion in the exact static and axially symmetric space-time of an (originally) Schwarzschild black hole surrounded by a thin disc or ring, is considered totest whether the often employed 'pseudo-Newtonian' approach (resorting to Newtonian dynamics in gravitational potentials modified to mimic the black hole field) can reproduce phase-space properties observed in the relativistic treatment. By plotting Poincare surfaces of section and using two recurrence methods for similar situations as in the relativistic case, we find similar tendencies in the evolution of the phase portrait with parameters (mainly with mass of the disc/ring and with energy of the orbiters), namely those characteristic to weakly non-integrable systems. More specifically, this is true for the Paczynski-Wiita and a newly suggested logarithmic potential, whereas the Nowak-Wagoner potential leads to a different picture. Th

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA14-10625S" target="_blank" >GA14-10625S: Obecně relativistická pole kompaktních astrofyzikálních zdrojů</a><br>

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Monthly Notices of the Royal Astronomical Society

ISSN

0035-8711

e-ISSN

—

Svazek periodika

451

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

25

Strana od-do

1770-1794

Kód UT WoS článku

000360830000050

EID výsledku v databázi Scopus

2-s2.0-84938118226