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Einstein and Yang-Mills theories in hyperbolic form without gauge-fixing

A. Abrahams·A. Anderson·Y. Choquet-Bruhat·J. W. York, Jr
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Abstract

The evolution of physical and gauge degrees of freedom in the Einstein and Yang-Mills theories are separated in a gauge-invariant manner. We show that the equations of motion of these theories can always be written in flux-conservative first-order symmetric hyperbolic form. This dynamical form is ideal for global analysis, analytic approximation methods such as gauge-invariant perturbation theory, and numerical solution.

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A. Abrahams, A. Anderson, Y. Choquet-Bruhat, J. W. York, Jr. 1995-06-28. Einstein and Yang-Mills theories in hyperbolic form without gauge-fixing. https://doi.org/10.1103/physrevlett.75.3377

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