in which the first two relations indicate that in the comoving frame, all radial distances tend to infinity and tangential distances approaches zero like τ τ − − τ τ 0 , whereas the third relation shows that the matter density increases like 1 / ( τ τ 0 − − τ τ ) . In the special case τ τ 0 ( R ) = constant where the time of collapse of all the material particle is the same, the asymptotic behaviors are different,