# Gravitational collapse

Suppose one has a self gravitating finite sphere of radius $r_{c}$ filled with a gas, i.e. the density satisfies $\rho(r\geq r_{c})=0,$ and a radial pressure that satisfied the equation of state $p(r)=-c^{2}\rho(r).$ What could one say about the gravitational collapse of this system?

• Probably not much, since we do not know $\rho(r)$, the temperature, or the heat capacity. – Anders Sandberg May 30 '18 at 18:53