• Generalized Langevin Equation Description of Stochastic Oscillations of General Relativistic Disks

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      https://www.ias.ac.in/article/fulltext/joaa/035/03/0449-0452

    • Keywords

       

      Accretion; accretion disks; black hole physics: gravitation: instabilities.

    • Abstract

       

      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.

    • Author Affiliations

       

      Chun Sing Leung1 Gabriela Mocanu2 3 Tiberiu Harko4

      1. Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong.
      2. Faculty of Physics, Babes-Bolyai University, Kogalniceanu Street 1, Cluj-Napoca 400 084, Romania.
      3. Department of Mathematics, Technical University of Cluj-Napoca, Memorandumului Street 28, Cluj Napoca 400 114, Romania.
      4. Department of Mathematics, University College of London, London, United Kingdom.
    • Dates

       
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