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

The result's identifiers

  • Result code in 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>

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA14-10625S" target="_blank" >GA14-10625S: General relativistic fields of compact astrophysical sources</a><br>

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Monthly Notices of the Royal Astronomical Society

  • ISSN

    0035-8711

  • e-ISSN

  • Volume of the periodical

    451

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    25

  • Pages from-to

    1770-1794

  • UT code for WoS article

    000360830000050

  • EID of the result in the Scopus database

    2-s2.0-84938118226