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Article: Stochastic oscillations of general relativistic discs

TitleStochastic oscillations of general relativistic discs
Authors
KeywordsAccretion, accretion discs
Black hole physics
Gravitation
Instabilities
Issue Date2012
PublisherRoyal Astronomical Society. The Journal's web site is located at http://www.blackwellpublishing.com/journals/MNR
Citation
Monthly Notices of the Royal Astronomical Society, 2012, v. 421 n. 4, p. 3102-3110 How to Cite?
AbstractWe analyse the general relativistic oscillations of thin accretion discs around compact astrophysical objects interacting with the surrounding medium through non-gravitational forces. The interaction with the external medium (a thermal bath) is modelled via a friction force and a random force, respectively. The general equations describing the stochastically perturbed discs are derived by considering the perturbations of trajectories of the test particles in equatorial orbits, assumed to move along the geodesic lines. By taking into account the presence of a viscous dissipation and of a stochastic force, we show that the dynamics of the stochastically perturbed discs can be formulated in terms of a general relativistic Langevin equation. The stochastic energy transport equation is also obtained. The vertical oscillations of the discs in the Schwarzschild and Kerr geometries are considered in detail, and they are analysed by numerically integrating the corresponding Langevin equations. The vertical displacements, velocities and luminosities of the stochastically perturbed discs are explicitly obtained for both the Schwarzschild and the Kerr cases. © 2012 The Authors Monthly Notices of the Royal Astronomical Society © 2012 RAS.
Persistent Identifierhttp://hdl.handle.net/10722/149126
ISSN
2015 Impact Factor: 4.952
2015 SCImago Journal Rankings: 2.806
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants Council of the Hong Kong Special Administrative Region, China
Sectoral Operational Programme for Human Resources Development
European Social FundPOSDRU/107/1.5/S/76841
Funding Information:

We would like to thank the anonymous referee for comments and suggestions that helped us to significantly improve the manuscript. The work by TH was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China. GM acknowledges the financial support of the Sectoral Operational Programme for Human Resources Development 2007-2013, co-financed by the European Social Fund, under the project number POSDRU/107/1.5/S/76841 with the title 'Modern Doctoral Studies: Internationalization and Interdisciplinarity'. GM would like to thank the Institute for Theoretical Physics, Vienna University of Technology Austria, for their hospitality during the time when most of this work was drafted.

 

DC FieldValueLanguage
dc.contributor.authorHarko, Ten_US
dc.contributor.authorMocanu, GRen_US
dc.date.accessioned2012-06-22T06:24:53Z-
dc.date.available2012-06-22T06:24:53Z-
dc.date.issued2012en_US
dc.identifier.citationMonthly Notices of the Royal Astronomical Society, 2012, v. 421 n. 4, p. 3102-3110en_US
dc.identifier.issn0035-8711-
dc.identifier.urihttp://hdl.handle.net/10722/149126-
dc.description.abstractWe analyse the general relativistic oscillations of thin accretion discs around compact astrophysical objects interacting with the surrounding medium through non-gravitational forces. The interaction with the external medium (a thermal bath) is modelled via a friction force and a random force, respectively. The general equations describing the stochastically perturbed discs are derived by considering the perturbations of trajectories of the test particles in equatorial orbits, assumed to move along the geodesic lines. By taking into account the presence of a viscous dissipation and of a stochastic force, we show that the dynamics of the stochastically perturbed discs can be formulated in terms of a general relativistic Langevin equation. The stochastic energy transport equation is also obtained. The vertical oscillations of the discs in the Schwarzschild and Kerr geometries are considered in detail, and they are analysed by numerically integrating the corresponding Langevin equations. The vertical displacements, velocities and luminosities of the stochastically perturbed discs are explicitly obtained for both the Schwarzschild and the Kerr cases. © 2012 The Authors Monthly Notices of the Royal Astronomical Society © 2012 RAS.-
dc.languageengen_US
dc.publisherRoyal Astronomical Society. The Journal's web site is located at http://www.blackwellpublishing.com/journals/MNRen_US
dc.relation.ispartofMonthly Notices of the Royal Astronomical Societyen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectAccretion, accretion discs-
dc.subjectBlack hole physics-
dc.subjectGravitation-
dc.subjectInstabilities-
dc.titleStochastic oscillations of general relativistic discsen_US
dc.typeArticleen_US
dc.identifier.emailHarko, T: harko@hkucc.hku.hken_US
dc.identifier.emailMocanu, GR: gabriela.mocanu@ubbcluj.ro-
dc.identifier.authorityHarko, TC=rp01333en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1111/j.1365-2966.2012.20530.x-
dc.identifier.scopuseid_2-s2.0-84859616554-
dc.identifier.hkuros199938en_US
dc.identifier.volume421en_US
dc.identifier.issue4-
dc.identifier.spage3102en_US
dc.identifier.epage3110en_US
dc.identifier.isiWOS:000302620700030-
dc.publisher.placeUnited Kingdom-

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