Relativistic Surface Dynamics of an Isolated World Tube of Perfect Fluid.

by Dominic G. B. Edelen

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An examination of the problem of constructing consistent boundary data for an isolated world tube of perfect fluid. The results show that one obtains a unique representation of all limiting quantities through simple constructions in a subsidiary three-dimensional hyperbolic-normal metric space. It also follows that the geodesic hypothesis can be invalidated only by internal dynamical processes. If the bounding surface is not known, a consistent procedure is given for the construction of the first and second fundamental forms and the boundary data such that a bounding surface is realizable in the underlying Einstein-Riemann space. 18 pp

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