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Multidimensional Cosmology for Intersecting p-Branes with Static Internal Spaces

M. A. Grebeniuk·V. D. Ivashchuk·V. N. Melnikov
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Abstract

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.

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M. A. Grebeniuk, V. D. Ivashchuk, V. N. Melnikov. 1998-04-20. Multidimensional Cosmology for Intersecting p-Branes with Static Internal Spaces. https://arxiv.org/abs/gr-qc/9804042

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