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

Preprint

29 June 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9506072

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.

Keywords

EQUATIONS OF MOTION
PERTURBATION THEORY
YANG MILLS THEORIES
DEGREES OF FREEDOM
NUMERICAL SOLUTION
EINSTEIN AND YANG
HYPERBOLIC FORM

All Related Versions

Version 1, 1995-06-29, ArXiv
Published version: Physical Review Letters, 75 (19), 3377.

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