Generalized Langevin Equation Description of Stochastic Oscillations of General Relativistic Disks

Chun Sing Leung, Gabriela Mocanu, Tiberiu Harko

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)


We consider a description of the stochastic oscillations of the general relativistic accretion disks around compact astrophysical objects based on the generalized Langevin equation, which accounts for the general retarded effects of the frictional force, and on the fluctuation–dissipation theorems. The vertical displacements, velocities and luminosities of the stochastically perturbed disks are explicitly obtained for both the Schwarzschild and Kerr cases. The power spectral distribution of the luminosity is also obtained, and it is shown that it has non-standard values. The theoretical predictions of the model are compared with the observational data for the luminosity time variation of the BL Lac S5 0716+714 object.

Original languageEnglish
Pages (from-to)449-452
Number of pages4
JournalJournal of Astrophysics and Astronomy
Issue number3
Publication statusPublished - 22 Nov 2014


  • Accretion—accretion disks—black hole physics
  • gravitation
  • instabilities

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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