Classification of G-invariant configurations of Einstein-Cartan theory on a multidimensional universe

Abstract

G-invariant configurations (τ, γ) of Einstein-Cartan theory on a multidimensional universe M are shown to be in 1 - 1 -correspondence with a quintuplet (g̃t, ξ, ĝa, ø, ψ) of geometrical objects living on bundles over physical spacetime M̃ = M/G. Moreover, explicit formulae for τ are given in terms of classifying objects.