1997/08/15 by M. A. Grebeniuk, V. D. Ivashchuk, V. N. Melnikov
Physics and Astronomy · #gr-qc
published as Grav.Cosmol. 3 (1997) 243-249 · 10 pages, Latex., Submit. to Phys. Lett. B
arxiv created 1997/08/15 · arxiv updated 2009/11/30
Multidimensional cosmological model describing the evolution of one Einstein space of non-zero curvature and n Ricci-flat internal spaces is considered. The action contains several dilatonic scalar fields and antisymmetric forms. When forms are chosen to be proportional of volume forms of p-brane submanifolds of internal space manifold, the Toda-like Lagrange representation is obtained. Wheeler-De Witt equation for the model is presented. The exact solutions in classical and quantum cases are obtained when dimensions of p-branes and dilatonic couplings obey some orthogonality conditions.