Stationary Axisymmetric Fields as Two-Dimensional Geodesics

Details Stationary Axisymmetric Fields as Two-Dimensional Geodesics Stationary Axisymmetric Fields as Two-Dimensional Geodesics

1993-10-08

arxiv.org/abs/gr-qc/9310017v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages. Submitted JMPh

Scientific paper

Einstein's equations for stationary axisymmetric fields are reformulated as the equations for affine geodesics in a two--dimensional space. The affine collineations of this space are investigated and used to relate explicit solutions of Einstein's equations with different physical properties. Particularly, the solutions describing the exterior fields of a dyon and a slowly rotating body are discussed.

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