Goldreich, Peter and Weber, Stephen V. (1980) Homologously collapsing stellar cores. Astrophysical Journal, 238 (1). pp. 991-997. ISSN 0004-637X. http://resolver.caltech.edu/CaltechAUTHORS:20130306-154242198
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We investigate the collapse of nonrotating gas spheres with a polytropic equation of state: n = 3, corresponding to y = 4/3. Such polytropes provide a reasonable approximation to collapsing stellar cores during the early phase before nuclear density is reached. We find a family of exact homologously collapsing configurations. 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 collapse. Linear perturbations of these homologously collapsing solutions are separable in space and time. Low order radial and nonradial modes are calculated, and it is found that all modes are essentially stable.
|Additional Information:||© 1980 American Astronomical Society. Received 1979 September 26; accepted 1979 December 5. We are grateful for comments by Doug Keeley and Frank Shu. We also acknowledge Glen Hermannsfeldt for excellent assistance with the computing. Stephen V. Weber was supported by a Chaim Weizmann postdoctoral fellowship. This work was supported NSF AST78-21453 and AST76-80801 A02.|
|Subject Keywords:||stars: collapsed, stars: interiors, stars: supernovae|
|Official Citation:||Homologously collapsing stellar cores Goldreich, P. & Weber, S. V. Astrophysical Journal, Part 1, vol. 238, June 15, 1980, p. 991-997.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||08 Mar 2013 22:52|
|Last Modified:||08 Mar 2013 22:52|
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