Canonical Forms for Stationary Axisymmetric Solutions

Roy P Kerr
(University of Canterbury, NZ; and ICRANet, Italy)


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The Lewis-Papapetrou-Ernst formulation of the field equations for stationary axisymmetric metrics has been standard for several decades. This has generated many new solutions for quadrupole sources but these have been so complicated that the metrics have not always been calculated from the Ernst potentials. It will be shown that theses metrics are not nearly as complicated as thought provided that a suitable representation is used.