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 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.Comment: 12 pages, revtex3.0, no figureKeywords
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This publication has 10 references indexed in Scilit:
- Gravitational perturbations of spherically symmetric systems. I. The exterior problemPublished by Elsevier ,2004
- New Formalism for Numerical RelativityPhysical Review Letters, 1995
- Reading off gravitational radiation waveforms in numerical relativity calculations: Matching to linearized gravityPhysical Review D, 1988
- The Yang-Mills equations on the universal cosmosJournal of Functional Analysis, 1983
- Hyperbolicity of the 3+1 system of Einstein equationsCommunications in Mathematical Physics, 1983
- The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski spaceCommunications in Mathematical Physics, 1982
- Multipole expansions of gravitational radiationReviews of Modern Physics, 1980
- Initial - value problem of general relativity. I. General formulation and physical interpretationPhysical Review D, 1974
- The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system, ICommunications in Mathematical Physics, 1972
- Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéairesActa Mathematica, 1952