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Oscillations of the Eddington capture sphere

Journal article
Authors Maciej Wielgus
Adam Stahl
Marek A Abramowicz
Wlodek Kluźniak
Published in Astronomy and Astrophysics
Volume 545
Issue 9
Pages artikel nr A123
ISSN 0004-6361
Publication year 2012
Published at Department of Physics (GU)
Pages artikel nr A123
Language en
Subject categories Astronomy, High energy astrophysics


We present a toy model of mildly super-Eddington, optically thin accretion onto a compact star in the Schwarzschild metric, which predicts periodic variations of luminosity when matter is supplied to the system at a constant accretion rate. These are related to the periodic appearance and disappearance of the Eddington capture sphere. In the model the frequency is found to vary inversely with the luminosity. If the input accretion rate varies (strictly) periodically, the luminosity variation is quasi-periodic, and the quality factor is inversely proportional to the relative amplitude of mass accretion fluctuations, with its largest value Q ≈ 1/(10 |δṀ/Ṁ|) attained in oscillations at about 1 to 2 kHz frequencies for a 2  M⊙ star.

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