Pulsational analysis of the cores of massive stars and its relevance to pulsar kicks

Jeremiah W. Murphy, Adam S. Burrows, Alexander Heger

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


The mechanism responsible for the natal kicks of neutron stars continues to be a challenging problem. Indeed, many mechanisms have been suggested, and one hydrodynamic mechanism may require large initial asymmetries in the cores of supernova progenitor stars. Goldreich and coworkers suggested that unstable g-modes trapped in the iron (Fe) core by the convective burning layers and excited by the ε-mechanism may provide the requisite asymmetries. We perform a modal analysis of the last minutes before collapse of published core structures and derive eigenfrequencies and eigenfunctions, including the nonadiabatic effects of growth by nuclear burning and decay by both neutrino and acoustic losses. In general, we find two types of g-modes: inner core g-modes, which are stabilized by neutrino losses, and outer core g-modes, which are trapped near the burning shells and can be unstable. Without exception, we find at least one unstable g-mode for each progenitor in the entire mass range we consider, 11-40 M. More importantly, we find that the timescales for growth and decay are an order of magnitude or more longer than the time until the commencement of core collapse. We conclude that the ε-mechanism may not have enough time to significantly amplify core g-modes prior to collapse.

Original languageEnglish (US)
Pages (from-to)460-474
Number of pages15
JournalAstrophysical Journal
Issue number1 I
StatePublished - Nov 1 2004

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science


  • Nuclear reactions, nucleosynthesis, abundances
  • Stars: neutron


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