Gauge field configurations in curved spacetimes. I
We study classical solutions of SU(2) Yang-Mills field equations, with or without coupled scalar fields, in curved spacetimes. We consider, essentially, only static, spherically symmetric background metrics, for both Lorentz and Euclidean signatures. Section I presents the motivation for searching such solutions. In Sec. II, the equations of motion for a class of Ansatze and several static solutions are given, namely a class of scalar fields compatible with a point monopole and particular solutions, for gauge fields alone, in background Schwarzschild and de Sitter metrics, respectively. Some interesting properties are discussed. In Sec. III a finite-action, Prasad-Sommerfield-type solution is constructed for the O(4,1) de Sitter metric. In Sec. IV it is shown how one single, simple de Sitter solution can lead to various well-known flat-space solutions, and to new ones, through a systematic exploitation of conformal equivalence. Self-duality constraints are formulated explicitly in Sec. V for a static spherically symmetric metric. Certain results for the Robinson-Bertotti metric are given in Sec. VI.
- Research Organization:
- Centre de Physique Theorique de l'Ecole Polytechnique, Plateau de Palaiseau, 91128 Palaiseau Cedex, France
- OSTI ID:
- 5866764
- Journal Information:
- Phys. Rev., D; (United States), Vol. 20:8
- Country of Publication:
- United States
- Language:
- English
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
SPACE-TIME
GAUGE INVARIANCE
YANG-MILLS THEORY
SU-2 GROUPS
COUPLING CONSTANTS
DE SITTER GROUP
EQUATIONS OF MOTION
FIELD EQUATIONS
GRAVITATIONAL FIELDS
METRICS
SCALAR FIELDS
SCHWARZSCHILD METRIC
DIFFERENTIAL EQUATIONS
EQUATIONS
INVARIANCE PRINCIPLES
LIE GROUPS
SU GROUPS
SYMMETRY GROUPS
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