Cosmological Einstein-Yang-Mills equations

Details Cosmological Einstein-Yang-Mills equations Cosmological Einstein-Yang-Mills equations

1996-10-15

arxiv.org/abs/gr-qc/9610026v2

J.Math.Phys.38:4696-4713,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, uses amsmath,amsthm,amssymb,epsfig,verbatim, minor corrections

Scientific paper

10.1063/1.532116

We use a systematic construction method for invariant connections on homogeneous spaces to find the Einstein-SU(n)-Yang-Mills equations for Friedmann-Robertson-Walker and locally rotationally symmetric homogeneous cosmologies. These connections depend on the choice of a homomorphism from the isotropy group into the gauge group. We consider here the cases of the gauge group SU(n) and SO(n) where these homomorphisms correspond to unitary or orthogonal representations of the isotropy group. For some of the simpler cases the full system of the evolution equations are derived, for others we only determine the number of dynamical variables that remain after some mild fixing of the gauge.

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