Toda Chains with Type Am Lie Algebra for Multidimensional Classical Cosmology with Intersecting p-Branes

Abstract

We consider a D-dimensional cosmological model describing an evolution of (n+1) Einstein factor spaces in the theory with several dilatonic scalar fields and generalized electro-magnetic forms, admitting an interpretation in terms of intersecting p-branes. The equations of motion of the model are reduced to the Euler-Lagrange equations for the so called pseudo-Euclidean Toda-like system. We consider the case, when characteristic vectors of the model, related to p-branes configuration and their couplings to the dilatonic fields, may be interpreted as the root vectors of a Lie algebra of the type Am. The model is reduced to the open Toda chain and integrated. The exact solution is presented in the Kasner-like form.

13 pages, Latex

References in corpus (2)

• The Reissner-Nordstrom Problem for Intersecting Electric and Magnetic p-Branes
• Intersecting p-brane Solutions in Multidimensional Gravity and M-theory

Cited by in corpus (6)

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• Black hole p-brane solutions for general intersection rules
• On exact solutions in multidimensional gravity with antisymmetric forms
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• On Brane Solutions Related to Non-Singular Kac-Moody Algebras