  We study the physical process of gravitational collapse of a perfect fluid
with a linear isentropic equation of state $p = k \rho, \ -1/3 < k \leq 1$. We
consider a model with ansatz $v'(t,r)/v(t,r) = \xi'(r)$ that give rise to a
family of solutions to Einstein equations with equation of state. The solution
so obtained lead to homogeneous collapse that evolves from a regular initial
data and the positivity of energy conditions. The collapse terminates in the
formation of black hole. We show that as the parameter $k \rightarrow 1$, the
formation of black hole gets accelerated in time, revealing the significance of
equation of state in black hole formation.
