Einstein and Yang-Mills theories in hyperbolic form without gauge-fixing
A. Abrahams, A. Anderson, Y. Choquet-Bruhat, J. W. York,
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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