The Dynamics of Discontinuity Surfaces in General Relativity Theory.

by Dominic G. B. Edelen, T. Y. Thomas

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Analysis of certain aspects of the general second-order discontinuity problem, presented in an attempt to shed light on the properties of the solution manifold of the general relativity field equations with arbitrary momentum-energy tensors. The underlying idea is that the analysis of discontinuity properties is usually much simpler than the analysis of the complete field equations--particularly if they are nonlinear. Following the outlines of previous work concerning the evolutionary properties of the second-order problem, here is a general dynamical theory of discontinuity surfaces and the associated jump strengths of both physical and geometrical quantities. The results reported here form the basis for a general analysis of galactic morphology that will be presented in succeeding publications.

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