1998/04/20 by M. A. Grebeniuk, V. D. Ivashchuk, V. N. Melnikov
Physics and Astronomy · #gr-qc
published as Grav.Cosmol. 4 (1998) 145-150 · 10 pages, LaTeX, submitted to Gravitation and Cosmology
arxiv created 1998/04/20 · arxiv updated 2009/11/30
Multidimensional cosmological model with static internal spaces describing the evolution of an Einstein space of non-zero curvature and n internal spaces is considered. The action contains several dilatonic scalar fields and antisymmetric forms and lambda-term. When forms are chosen to be proportional to volume forms of p-brane submanifolds of internal space manifold, the Toda-like Lagrange representation arises. Exact solutions for the model are obtained, when scale factors of internal spaces are constant. It is shown that they are de Sitter or anti-de Sitter. Behaviour of cosmological constant and its generation by p-branes is demonstrated.