arXiv · gr-qc/9505023
NONLINEAR WAVE EQUATIONS FOR RELATIVITY
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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Maurice H. P. M. van Putten, Douglas M. Eardley. 1995-05-16. NONLINEAR WAVE EQUATIONS FOR RELATIVITY. https://doi.org/10.1103/physrevd.53.3056
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