Einstein and Yang-Mills Theories in Hyperbolic Form without Gauge Fixing
- 6 November 1995
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 75 (19), 3377-3381
- https://doi.org/10.1103/physrevlett.75.3377
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 be written in flux-conservative first-order symmetric hyperbolic form where the only nonzero characteristic speed is that of light. This dynamical form is ideal for global analysis, analytic approximation methods such as gauge-invariant perturbation theory, and numerical solution.Keywords
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