paper

NONLINEAR WAVE EQUATIONS FOR RELATIVITY

arXiv:gr-qc/9505023 · doi:10.1103/PhysRevD.53.3056

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.

8 pages, LaTex

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