Effects of rotation on the revival of a stalled shock in supernova explosions

Tatsuya Yamasaki, Shoichi Yamada

    Research output: Contribution to journalArticle

    60 Citations (Scopus)

    Abstract

    In order to infer the effects of rotation on the revival of a stalled shock in supernova explosions, we investigate steady accretion flows with a standing shock. We first obtain a series of solutions for equations describing nonrotating, spherically symmetric flows and confirm the results of preceding papers, that for a given mass accretion rate, there is a critical luminosity of irradiating neutrinos above which there exists no steady solution. Below the critical value, we find two branches of solutions; one is stable and the other is unstable against radial perturbations. With a simple argument based on the Riemann problem, we can identify the critical luminosity as that at which the stalled shock revives. We also obtain a condition satisfied by the flow velocity for the critical luminosity, which can easily be applied to the rotational case. If a collapsing star rotates, the accretion flow is nonspherical as a consequence of centrifugal forces. Flows are accelerated near the rotation axis, whereas they are decelerated near the equatorial plane. As a result, the critical luminosity is lowered; that is, rotation assists the revival of a stalled shock. According to our calculations, the critical luminosity is ∼25% lower for a mass accretion rate of 1 M s-1 and a rotational frequency of 0.1 Hz at a radius of 1000 km than that for a spherically symmetric flow with the same mass accretion rate. We find that the condition on the flow velocity at the critical luminosity is first satisfied at the rotation axis. This suggests that shock revival is triggered on the rotation axis and a jetlike explosion ensues.

    Original languageEnglish
    Pages (from-to)1000-1010
    Number of pages11
    JournalAstrophysical Journal
    Volume623
    Issue number2 I
    DOIs
    Publication statusPublished - 2005 Apr 20

      Fingerprint

    Keywords

    • Hydrodynamics
    • Shock waves
    • Stars: rotation
    • Supernovae: general

    ASJC Scopus subject areas

    • Space and Planetary Science

    Cite this