Dynamics of dimensions in factor space cosmology

We consider multidimensional cosmological models with a generalized space-time manifold M = R x M_1 x... x M_n, composed from a finite number of factor spaces M_i, i=1,...,n. While usually each factor space M_i is considered to be some Riemannian space of dimension d_i element of N, here it is, more generally, a fractal space, the dimension of which is a smooth function of time d_i(t) element of R. Hence, besides the scale factor exponents #beta#"i = ln a_i and their derivatives, we consider also the dimensions d_i of the factor spaces as classical dynamical variables. The classical equation of motions and the corresponding Wheeler-de Witt equation are set up generally, and the qualitative behaviour of the system is discussed for some specific model with 2 factor spaces. (orig.)Available from TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman