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.
|Number of pages||9|
|Journal||Japan Journal of Industrial and Applied Mathematics|
|State||Published - 1 Jan 1998|
- Critical mass
- Euler-Poisson equation
- Gaseous star
- Gravitational collapse