Cao 2008 各向同性坍缩星自相似解

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Title:		Homologous Core Collapse in a Massive Star and Self-Similar Evolution of Rebound Shocks
Authors:		Cao, Yi; Lou, Yu-Qing
Publication:		eprint arXiv:0808.3523
Publication Date:		08/2008
Origin:		ARXIV
Keywords:		Astrophysics
Comment:		4 pages. To appear in the proceedings of "2008 Nanjing GRB conference", Nanjing, 23-27 June 2008
Bibliographic Code:		2008arXiv0808.3523C

Abstract

During the gravitational core collapse of a massive progenitor star which may give rise to at least a class of gamma-ray bursts (GRBs) associated with supernovae, a stellar core rapidly passes through a short yet important phase of neutronization, producing a huge amount of energetic neutrinos and photons which contribute to the total pressure within the progenitor core. The collection of neutrinos, photons and gas materials together may be approximated as a fluid with a polytropic index $\gamma=4/3$ under the action of self-gravity. With a substantial generalization and using analytical and numerical methods (Lou & Cao 2008), we recently constructed and examined various self-similar solutions to describe collapses, rebound shocks and flows systematically in a $\gamma=4/3$ polytropic gas mixture with spherical symmetry, and compare our results with those of Goldreich & Weber (1980). It is also possible to construct central void solutions without or with shocks. Various features and characteristics of this nonlinear relativistically hot gas dynamics, including asymptotic and exact solutions, are presented. This more general polytropic model analysis provides the dynamic basis of understanding the evolution of rebound shocks in supernovae (SNs) and the results may be also utilized to benchmark hydrodynamic simulations.

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