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

Dominic G. B. Edelen

ResearchPublished 1963

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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Edelen, Dominic G. B., Relativistic Surface Dynamics of an Isolated World Tube of Perfect Fluid. Santa Monica, CA: RAND Corporation, 1963. https://www.rand.org/pubs/research_memoranda/RM3634.html.
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