A New Result on the Dynamical Symmetry of Spherical Collapse
  A dynamical symmetry for spherical collapse has been studied using a linear transformation of the initial data set (mass and kinetic energy function) and the area radius. With proper choice of the initial area radius, the evolution as well as the physical parameters namely energy density and shear remain invariant both initially and at any time instant. Finally, it is found that the final outcome of collapse depends on the initial choice of the area radius. 
Subenoy Chakraborty, Asit Banerjee, Ujjal Debnath