Curvature coupling in Einstein-Yang-Mills theory and non-minimal self-duality
General Relativity and Quantum Cosmology
2008-11-26 v2 Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
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.
Cite
@article{arxiv.gr-qc/0612020,
title = {Curvature coupling in Einstein-Yang-Mills theory and non-minimal self-duality},
author = {Alexander B. Balakin and Alexei E. Zayats},
journal= {arXiv preprint arXiv:gr-qc/0612020},
year = {2008}
}
Comments
6 pages, no figures, accepted for publication in Gravitation and Cosmology