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Static axially symmetric gravitational fields with shell sources

Published under licence by IOP Publishing Ltd
, , Citation J D McCrea 1976 J. Phys. A: Math. Gen. 9 697 DOI 10.1088/0305-4470/9/5/006

0305-4470/9/5/697

Abstract

Israel's method (1966) 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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10.1088/0305-4470/9/5/006