Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-04-20
Grav.Cosmol. 4 (1998) 145-150
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, LaTeX, submitted to Gravitation and Cosmology
Scientific paper
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.
Grebeniuk M. A.
Ivashchuk Vladimir D.
Melnikov Vitaly N.
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