Abstract
This paper develops the study of the geometrical and physical characteristics of the class of the frames of reference associated to isotropic coordinates in the case of spherical symmetry. In particular, through the separate invariant formulation of the initial data problem and the restricted evolution problem, we study motions comoving with isotropic coordinates: i.e. shear free motions in which p = p(μ) or p = 0. All the possible solutions of the restricted evolution problem are determined by specifying all the admissible choice of the data in the case of shear free. Furthermore, if the characteristics of the motions are initially valid, they are valid as time evolves.
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