Presentation of the salient theoretical considerations required for the formulation of a rational and self-consistent theory of the observed morphology of galaxies. A class C of kinematical models of galactic structures is constructed under the assumption that a galaxy has a definite physical boundary that is geometrically stable with respect to the Einstein gravitational field. No assumptions are made concerning the form of the momentum-energy tensor in the interior or the exterior of a galaxy other than those demanded by the requirement that the Einstein field equations be solvable in the presence of the boundary-surface jump strengths of the galaxy. The results of previous studies in the dynamics of discontinuity (boundary) surfaces in general relativity are thus applicable.
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