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

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

1995-06-28

arxiv.org/abs/gr-qc/9506072v1

Phys.Rev.Lett.75:3377-3381,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, revtex3.0, no figures

Scientific paper

10.1103/PhysRevLett.75.3377

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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