The collapse of iron-oxygen stars - Physical and mathematical formulation of the problem and computational method

Details The collapse of iron-oxygen stars - Physical and mathematical formulation of the problem and computational method The collapse of iron-oxygen stars - Physical and mathematical formulation of the problem and computational method

Jul 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..49..399n&link_type=abstract

Astrophysics and Space Science, vol. 49, no. 2, July 1977, p. 399-425.

Astronomy and Astrophysics

Astrophysics

17

Gravitational Collapse, Mathematical Models, Neutrinos, Radiative Transfer, Stellar Models, Asymptotic Methods, Iron, Muons, Optical Thickness, Oxygen, Photosphere, Stellar Envelopes

Scientific paper

The basic equations and main methodological features of calculations performed to investigate the gravitational collapse of rather massive iron-oxygen stars are considered. An approach is discussed which makes use of two asymptotic solutions to the equation of neutrino transfer, one that is valid inside the collapsing core (which is highly opaque to neutrino radiation) and another that is applicable to neutrino interactions with the nearly transparent stellar envelope. Attention is given to initial hydrostatic-equilibrium models, governing equations, volume energy losses due to neutrino emission during three stages of gravitational collapse, neutrino energy deposition during the semitransparent and opaque stages of collapse, treatment of muon neutrinos, and the equation of state for the 'neutrino core'. Specification of the neutrino optical depth, core boundary, and photosphere is examined. A computational scheme is outlined for a model star divided into 151 mass shells.

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