Spatially homogeneous, anisotropic, cosmological models are investigated in the case of D = 11 supergravity. It is shown how the field equations reduce with this assumption to ordinary differential equations with respect to time. These equations are solved when the homogeneity group is abelian and admits non-trivial solutions with various splittings of the 11 dimensions into n + (11 - n). Other exact solutions with different homogeneity groups are exhibited, one of them being such that the physical dimensions expand much faster than the extra ones. © 1985.
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