On the critical mass of the collapse of a gaseous star in spherically symmetric and isentropic motion

Chun Chieh Fu*, Song-Sun Lin

*Corresponding author for this work

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

For self-gravitating, spherically symmetric and isentropic gaseous star, there is a family of particular solutions when the adiabatic index γ = 4/3. We found that there is a critical total mass M0 associated with these particular solutions. If the total mass M of star less than M0, then the star expands infinitely and its density ultimately tends to approach zero. When M ≥ M0 and the initial velocity is slower than escape velocity, then the gas is trapped and collapses toward the star's center in a finite period of time.

Original languageEnglish
Pages (from-to)461-469
Number of pages9
JournalJapan Journal of Industrial and Applied Mathematics
Volume15
Issue number3
DOIs
StatePublished - 1 Jan 1998

Keywords

  • Critical mass
  • Euler-Poisson equation
  • Gaseous star
  • Gravitational collapse

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