Phys. Rev. 167, 1175–1178 (1968)New Formulation of the Axially Symmetric Gravitational Field ProblemReceived 7 November 1967; published in the issue dated March 1968 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/doi/10.1103/PhysRev.167.1175
DOI:
10.1103/PhysRev.167.1175
PACS:
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