General relativistic hydrodynamic simulations and linear analysis of the standing accretion shock instability around a black hole

Hiroki Nagakura, Shoichi Yamada

    Research output: Contribution to journalArticle

    30 Citations (Scopus)

    Abstract

    We study the stability of standing shock waves in advection-dominated accretion flows into a Schwarzschild black hole using two-dimensional general relativistic hydrodynamic simulations, as well as linear analysis, in the equatorial plane. We demonstrate that the accretion shock is stable against axisymmetric perturbations but becomes unstable to nonaxisymmetric perturbations. The results of the dynamical simulations show good agreement with the linear analysis on the stability and the oscillation and growth timescales. A comparison of different wave-travel times with the growth timescales of the instability suggests that it is likely to be of the Papaloizou-Pringle type, induced by the repeated propagations of acoustic waves. However, the wavelengths of the perturbations are too long to allow a clear definition of the reflection point. By analyzing the nonlinear phase in the dynamical simulations, we show that quadratic mode couplings precede the nonlinear saturation. It is also found that not only short-term random fluctuations due to turbulent motion, but also quasi-periodic oscillations on longer timescales, take place in the nonlinear phase. We give some possible implications of the instability for black hole quasi-periodic oscillations and the central engine in gamma-ray bursts.

    Original languageEnglish
    Pages (from-to)391-406
    Number of pages16
    JournalAstrophysical Journal
    Volume689
    Issue number1
    DOIs
    Publication statusPublished - 2008 Dec 10

    Fingerprint

    hydrodynamics
    shock
    oscillation
    accretion
    perturbation
    timescale
    oscillations
    simulation
    standing wave
    acoustic wave
    shock wave
    travel time
    engine
    advection
    gamma ray bursts
    saturation
    coupled modes
    travel
    wavelength
    engines

    Keywords

    • Accretion, accretion disks
    • Black hole physics
    • Hydrodynamics
    • Instabilities shock waves

    ASJC Scopus subject areas

    • Space and Planetary Science
    • Astronomy and Astrophysics

    Cite this

    General relativistic hydrodynamic simulations and linear analysis of the standing accretion shock instability around a black hole. / Nagakura, Hiroki; Yamada, Shoichi.

    In: Astrophysical Journal, Vol. 689, No. 1, 10.12.2008, p. 391-406.

    Research output: Contribution to journalArticle

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