Curvature coupling in Einstein-Yang-Mills theory and non-minimal self-duality

Details Curvature coupling in Einstein-Yang-Mills theory and non-minimal self-duality Curvature coupling in Einstein-Yang-Mills theory and non-minimal self-duality

2006-12-03

arxiv.org/abs/gr-qc/0612020v2

Grav.Cosmol.12:302-306,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, no figures, accepted for publication in Gravitation and Cosmology

Scientific paper

A self-consistent non-minimal non-Abelian Einstein-Yang-Mills model, containing three phenomenological coupling constants, is formulated. The ansatz of a vanishing Yang-Mills induction is considered as a particular case of the self-duality requirement for the gauge field. Such an ansatz is shown to allow obtaining an exact solution of the self-consistent set of equations when the space-time has a constant curvature. An example describing a pure magnetic gauge field in the de Sitter cosmological model is discussed in detail.

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