NONLINEAR WAVE EQUATIONS FOR RELATIVITY
Maurice H. P. M. van Putten, Douglas M. Eardley
Abstract
Graviational radiation is described by canonical Yang-Mills wave equations on the curved space-time manifold, together with evolution equations for the metric in the tangent bundle. The initial data problem is described in Yang-Mills scalar and vector potentials, resulting in Lie-constraints in addition to the familiar Gauss-Codacci relations.
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