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Composite S -brane solutions related to Toda-type systems

2002/08/31 by V. D. Ivashchuk, V D Ivashchuk · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/0264-9381/20/2/301

published as Class.Quant.Grav. 20 (2003) 261-276 · 22 pages, Latex, no figures, resubmit. to CQG. Certain references and paragraphs are added

arxiv created 2002/10/28 · openalex publication_date 2002/12/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Composite S -brane solutions in multidimensional gravity with scalar fields and fields of forms related to Toda-like systems are presented. These solutions are defined on a product manifold * × M 1 × ··· × M n , where * is a time manifold, M 1 is an Einstein manifold and M i ( i > 1) are Ricci-flat manifolds. Certain examples of S -brane solutions related to A 1 + ··· + A 1 , A m Toda chains and those with 'block-orthogonal' intersections (e.g. SM -brane solutions) are singled out. A Kasner-like asymptotical behaviour of the solutions is shown when certain restrictions are imposed.

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