Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...265.1047y&link_type=abstract
Astrophysical Journal, Part 1, vol. 265, Feb. 15, 1983, p. 1047-1055.
Astronomy and Astrophysics
Astrophysics
120
Gravitational Collapse, Stellar Evolution, Supermassive Stars, Supernovae, Chandrasekhar Equation, Dense Plasmas, Energy Transfer, Equations Of State, Polytropic Processes, Similarity Theorem, Stellar Mass, Stellar Structure
Scientific paper
Self-similar solutions are found for the collapse of a stellar core with a polytropic equation of state p = κργ, and 6/5 ≤ γ ≤ 4/3. These solutions show that the core splits into a homologously collapsing inner core and an outer core, which is infalling supersonically, at about half the free-fall velocity, and with a Mach number ≡2-3. The self-similar solutions yield two important qualitative conclusions regarding supernovae in massive stars: (1) the mass of the inner core is about 10% higher than the Chandrasekhar mass, and this determines the energy transferred by the inner core to the shocked outer core during rebound at nuclear density; (2) the closer γ is to 4/3, the smaller the density of the infalling outer core, and hence the easier it is for the shock to move against its ram pressure.
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