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Integrable Multidimensional Classical and Quantum Cosmology for Intersecting p-branes

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

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.

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M. A. Grebeniuk, V. D. Ivashchuk, V. N. Melnikov. 1997-08-15. Integrable Multidimensional Classical and Quantum Cosmology for Intersecting p-branes. https://arxiv.org/abs/gr-qc/9708031

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