Tensor-multiscalar theories from multidimensional cosmology

Inhomogeneous multidimensional cosmological models with a higher-dimensional space-time manifold M=M₀×Πi=1ⁿ[Mᵢ(n>~1)] are investigated under dimensional reduction to tensor-multiscalar theories. In the Einstein conformal frame, these theories take the shape of a flat σ model. For the singular case where M₀ is two dimensional, the dimensional reduction to dilaton gravity is preformed with different distinguished representations of the action.