Gauge field configurations in curved spacetimes. I

Journal Article · Mon Oct 15 04:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.1884· OSTI ID:5866764

Boutaleb-Joutei, H; Chakrabarti, A; Comtet, A

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), Journal Name: Phys. Rev., D; (United States) Vol. 20:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
DE SITTER GROUP
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD EQUATIONS
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
INVARIANCE PRINCIPLES
LIE GROUPS
METRICS
SCALAR FIELDS
SCHWARZSCHILD METRIC
SPACE-TIME
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
YANG-MILLS THEORY