Axially Symmetric, Static Vacuum Fields

Physics

Scientific paper

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Scientific paper

A simple method to obtain Weyl solutions of Einstein's vacuum field equations is presented. The gravitational potentials are obtained from integrations of the gravitational sources along the axis of symmetry. An especially useful class of exact solutions is obtained, with a five-fold infinity of independent parameters. These parameters have simple physical interpretation, and can be adjusted to give promptly approximate solutions to a large variety of gravitational situations.

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