  Gravitational collapse of a spherically symmetric cloud has been extensively
studied to investigate the nature of resulting singularity. However, there has
been considerable debate about the admissibility of certain initial density
distributions. Using the Newtonian limit of the equations governing collapse of
a fluid with an equation of state $p=p(\rho)$ it is shown that the density
distribution has to be even function of r in a spherically symmetric situation
provided $dp/d\rho\ne0$. Implications of this result on formation of strong
naked singularities are examined.
