M. Rainer et A. Zhuk, TENSOR-MULTISCALAR THEORIES FROM MULTIDIMENSIONAL COSMOLOGY, Physical review. D. Particles and fields, 54(10), 1996, pp. 6186-6192
Inhomogeneous multidimensional cosmological models with a higher-dimen
sional space-time manifold M = M(0) X Pi(i=1)(n)M(i) (n greater than o
r equal to 1) are investigated under dimensional reduction to tensor-m
ultiscalar theories. In the Einstein conformal frame, these theories t
ake the shape of a flat sigma model. For the singular case where M(0)
is two dimensional, the dimensional reduction to dilaton gravity is pr
eformed with different distinguished representations of the action.