Bondi-Hoyle-Lyttleton Accretion in a Reactive Medium: Detonation Ignition and a Mechanism for Type Ia Supernovae

Abstract

Detonation initiation in a reactive medium can be achieved by an externally created shock wave. Supersonic flow onto a gravitating center, known as Bondi-Hoyle-Lyttleton (BHL) accretion, is a natural shock wave creating process, but, to our knowledge, a reactive medium has never been considered in the literature. Here, we conduct an order of magnitude analysis to investigate under which conditions the shock-induced reaction zone recouples to the shock front. We derive three semianalytical criteria for self-sustained detonation ignition. We apply these criteria to the special situation where a primordial black hole (PBH) of asteroid mass traverses a carbon-oxygen white dwarf (WD). Since detonations in carbon-oxygen WDs are supposed to produce normal thermonuclear supernovae (SNe Ia), the observed SN Ia rate constrains the fraction of dark matter (DM) in the form of PBHs as ${\log }_{10}(f_{\mathrm{PBH}})<0.8{\log }_{10}(M_{\mathrm{BH}}/3\times 10^{22}\mathrm{g})$ in the range $10^{21}-10^{22}$g ($10^{20}-10^{22}$g) from a conservative (optimistic) analysis. Most importantly, these encounters can account for both the rate and the median explosion mass of normal sub-Chandrasekhar SNe Ia if a significant fraction of DM is in the form of PBHs with mass $10^{23}$g.

arXiv comment9 pages, 10 figures

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• Dark-matter-induced transients over cosmic time: The role of star formation history profiles
• Revisiting constraints on asymmetric dark matter from collapse in white dwarf stars