Static axially symmetric gravitational fields with shell sources

Physics

Scientific paper

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Equipotentials, Gravitation Theory, Gravitational Fields, Relativity, Einstein Equations, Prolate Spheroids, Surface Layers, Tensor Analysis, Thin Walled Shells

Scientific paper

Israel's (1966) method for treating surface layers in general relativity is applied to construct shell sources for exterior static axially symmetric gravitational fields. Consideration is restricted to cases in which the 3-cylinder representing the history of the shell is an equipotential surface of the exterior field and, consequently, the space-time inside this 3-cylinder is flat.

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