  By linearly scaling the initial data set (mass and kinetic energy functions)
together with the initial area radius of a collapsing dust sphere, we find a
symmetry of the collapse dynamics. That is, the linear transformation defines
an equivalence class of data sets which lead to the same end result as well as
its evolution all through. In particular, the density and shear remain
invariant initially as well as during the collapse. What the transformation is
exhibiting is an interesting scaling relationship between mass, kinetic energy
and the size of the collapsing dust sphere.
