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 massM of star less than M0, then the star expands infinitely and its density ultimately tends to approach zero. WhenM ≥ 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.
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Work partially supported by the National Science Council of the Republic of China.
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Fu, C.C., Lin, S.S. On the critical mass of the collapse of a gaseous star in spherically symmetric and isentropic motion. Japan J. Indust. Appl. Math. 15, 461–469 (1998). https://doi.org/10.1007/BF03167322
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DOI: https://doi.org/10.1007/BF03167322