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Stationary Axisymmetric Fields as Two-Dimensional Geodesics

1993/10/08 by D. Nunez, H. Quevedo, Nunez, D. +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9310017

18 pages. Submitted JMPh

arxiv created 1993/10/08 · arxiv updated 2009/11/30

Abstract

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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