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Article: Stochastic oscillations of general relativistic discs
Title | Stochastic oscillations of general relativistic discs | ||||||||
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Authors | |||||||||
Keywords | Accretion, accretion discs Black hole physics Gravitation Instabilities | ||||||||
Issue Date | 2012 | ||||||||
Publisher | Blackwell Publishing Ltd. The Journal's web site is located at http://www.oxfordjournals.org/our_journals/mnras/ | ||||||||
Citation | Monthly Notices of the Royal Astronomical Society, 2012, v. 421 n. 4, p. 3102-3110 How to Cite? | ||||||||
Abstract | We 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 Identifier | http://hdl.handle.net/10722/149126 | ||||||||
ISSN | 2023 Impact Factor: 4.7 2023 SCImago Journal Rankings: 1.621 | ||||||||
ISI Accession Number ID |
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 Field | Value | Language |
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dc.contributor.author | Harko, T | en_US |
dc.contributor.author | Mocanu, GR | en_US |
dc.date.accessioned | 2012-06-22T06:24:53Z | - |
dc.date.available | 2012-06-22T06:24:53Z | - |
dc.date.issued | 2012 | en_US |
dc.identifier.citation | Monthly Notices of the Royal Astronomical Society, 2012, v. 421 n. 4, p. 3102-3110 | en_US |
dc.identifier.issn | 0035-8711 | - |
dc.identifier.uri | http://hdl.handle.net/10722/149126 | - |
dc.description.abstract | We 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.language | eng | en_US |
dc.publisher | Blackwell Publishing Ltd. The Journal's web site is located at http://www.oxfordjournals.org/our_journals/mnras/ | - |
dc.relation.ispartof | Monthly Notices of the Royal Astronomical Society | en_US |
dc.rights | © 2012 The Authors. Monthly Notices of the Royal Astronomical Society © 2012 RAS. The definitive version is available at https://dx.doi.org/10.1111/j.1365-2966.2012.20530.x | - |
dc.subject | Accretion, accretion discs | - |
dc.subject | Black hole physics | - |
dc.subject | Gravitation | - |
dc.subject | Instabilities | - |
dc.title | Stochastic oscillations of general relativistic discs | en_US |
dc.type | Article | en_US |
dc.identifier.email | Harko, T: harko@hkucc.hku.hk | en_US |
dc.identifier.email | Mocanu, GR: gabriela.mocanu@ubbcluj.ro | - |
dc.identifier.authority | Harko, TC=rp01333 | en_US |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1111/j.1365-2966.2012.20530.x | - |
dc.identifier.scopus | eid_2-s2.0-84859616554 | - |
dc.identifier.hkuros | 199938 | en_US |
dc.identifier.volume | 421 | en_US |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 3102 | en_US |
dc.identifier.epage | 3110 | en_US |
dc.identifier.isi | WOS:000302620700030 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0035-8711 | - |