Homologously collapsing stellar cores

Details Homologously collapsing stellar cores Homologously collapsing stellar cores

Jun 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...238..991g&link_type=abstract

Astrophysical Journal, Part 1, vol. 238, June 15, 1980, p. 991-997.

Astronomy and Astrophysics

Astrophysics

126

Gravitational Collapse, Stellar Cores, Stellar Structure, Supernovae, Density Distribution, Differential Equations, Eigenvalues, Equations Of State, Homology, Stellar Evolution, Stellar Gravitation

Scientific paper

The paper investigates the collapse of nonrotating gas spheres with a polytropic equation of state for n = 3, corresponding to gamma = 4/3. Such polytropes provide a reasonable approximation to collapsing stellar cores during the early phase before nuclear density is reached. A family of exact homologously collapsing configurations is found. Homologous collapse of the entire core is possible if the pressure at a given density is reduced by up to 3% from the value for a marginally stable static core. For a greater pressure reduction, an inner core can collapse homologously, the mass of which varies as the 3/2 power of the reduced pressure at the onset of the collapse.

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