Self-gravity in neutrino-dominated accretion disks

Abstract

We present the effects of the self-gravity on the vertical structure and neutrino luminosity of the neutrino-dominated accretion disks in cylindrical coordinates. It is found that significant changes of the structure appear in the outer region of the disk, especially for high accretion rates (e.g., $\ga 1 M_\odot~\rm s^{-1}$), and thus causes the slight increase of the neutrino luminosity. Furthermore, the gravitational instability of the disk is reviewed by the vertical distribution of the Toomre parameter \citep{Toomre1964}, which may account for the late-time flares in gamma-ray bursts and the extended emission in short-duration gamma-ray bursts.

arXiv comment23 pages, 6 figures, accepted for publication in the Astrophysical Journal

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• Hyperaccreting Black Hole as Gamma-Ray Burst Central Engine. II. Temporal evolution of central engine parameters during Prompt and Afterglow Phases
• Jet Luminosity of Gamma-ray Bursts: Blandford-Znajek Mechanism v.s. Neutrino Annihilation Process
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• Statistical analyses on the energies of X-ray plateaus and flares in gamma-ray bursts
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• Vertical convection in neutrino-dominated accretion flows
• A method to constrain mass and spin of GRB black hole within the NDAF model
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• Nucleosynthesis Contribution of Neutrino-dominated Accretion Flows to the Chemical Evolution of Active Galactic Nuclei
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• Self-Gravity in Magnetized Neutrino-Dominated Accretion Discs
• Short-duration gamma-ray bursts from Kerr-Newman black hole mergers
• GRB variabilities and following gravitational waves induced by gravitational instability in NDAFs