Phys. Rev. Lett. 75, 3377–3381 (1995)Einstein and Yang-Mills Theories in Hyperbolic Form without Gauge FixingReceived 29 June 1995; published in the issue dated 6 November 1995 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. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.3377
DOI:
10.1103/PhysRevLett.75.3377
PACS:
04.20.Cv, 04.20.Ex, 04.25.Dm, 11.15.-q
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