Compactification to Non-symmetric Homogeneous Space in Multidimensional Einstein-Yang-Mills Theory

J.I. Perez Cadenas; Yu.A. Kubyshin

arxiv: gr-qc/9306001 · v1 · submitted 1993-06-01 · 🌀 gr-qc

Compactification to Non-symmetric Homogeneous Space in Multidimensional Einstein-Yang-Mills Theory

Yu.A. Kubyshin , J.I. Perez Cadenas This is my paper

classification 🌀 gr-qc

keywords spaceeinstein-yang-millshomogeneousmodelnon-symmetricpotentialtheoryanalyzed

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We study ten-dimensional Einstein-Yang-Mills model with the space of extra dimensions being a non-symmetric homogeneous space with the invariant metric parametrized by two scales. Dimensional reduction of the model is carried out and the scalar potential of the reduced theory is calculated. In a cosmological setting minima of the potential in the radiation-dominated period that followed the inflation are found and their stability is analyzed. The compactifying solution is shown to be stable for the appropriate values of parameters.

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