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

Alexander B. Balakin·Alexei E. Zayats
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Abstract

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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Alexander B. Balakin, Alexei E. Zayats. 2006-12-23. Curvature coupling in Einstein-Yang-Mills theory and non-minimal self-duality. https://arxiv.org/abs/gr-qc/0612020

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