A gauge condition for orthonormal three‐frames

A gauge condition for orthonormal three‐frames

A set of natural gauge conditions for an orthonormal frame on a three‐dimensional Riemannian manifold is discussed. The conditions determine a teleparallel geometry. They may be regarded as a nonlinear elliptic system for a rotation. Existence and uniqueness of solutions are discussed using the line...

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Veröffentlicht in:J. Math. Phys. (N.Y.); (United States) 1989-03, Vol.30 (3), p.624-626
1. Verfasser: Nester, James M.
Format: Artikel
Sprache:eng
Schlagworte:
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation
BOUNDARY-VALUE PROBLEMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Exact sciences and technology
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
Geometry, differential geometry, and topology
INVARIANCE PRINCIPLES
Mathematical methods in physics
MATHEMATICAL SPACE
MATHEMATICS
METRICS
Physics
RIEMANN SPACE
ROTATIONAL INVARIANCE
SPACE
TOPOLOGY
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Zusammenfassung:A set of natural gauge conditions for an orthonormal frame on a three‐dimensional Riemannian manifold is discussed. The conditions determine a teleparallel geometry. They may be regarded as a nonlinear elliptic system for a rotation. Existence and uniqueness of solutions are discussed using the linearized system. Applications to Einstein gravity are noted.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.528429