Phys. Rev. 167, 1175 - 1178 (1968)

New Formulation of the Axially Symmetric Gravitational Field Problem

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Frederick J. Ernst
Illinois Institute of Technology, Chicago, Illinois, 60616

Received 7 November 1967

The field equations governing the gravitational field of a uniformly rotating axially symmetric source are reformulated in terms of a simple variational principle. The new formalism affords a concise unified derivation of the solutions discovered by Weyl and Papapetrou, and permits a simple derivation of the Kerr metric in terms of prolate spheroidal coordinates. More complex solutions are identified by applying perturbation theory.


©1968 The American Physical Society

URL: http://link.aps.org/abstract/PR/v167/p1175
DOI: 10.1103/PhysRev.167.1175

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