Multidimensional cosmology and Toda-like systems

A cosmological model describing the evolution of n Einstein spaces is considered. For n 1⩾2, n− n 1⩾1, where n 1 is the number of spaces with non-zero curvature, the model is reduced to a Toda-like system that does not satisfy the Adler-van Moerbeke criterion of integrability. In the case n 1=0, 1 (...

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Bibliographic Details
Published inPhysics letters. A Vol. 170; no. 1; pp. 16 - 20
Main Author Ivashchuk, Vladimir D.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 19.10.1992
Elsevier Science
Subjects
Classical general relativity
Exact sciences and technology
General relativity and gravitation
Physics
Integrability
Cosmological model
Toda model
Multidimensional model
Cosmology
Metric
Generalization
Curvature
Einstein equation
Exact solution
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Summary:A cosmological model describing the evolution of n Einstein spaces is considered. For n 1⩾2, n− n 1⩾1, where n 1 is the number of spaces with non-zero curvature, the model is reduced to a Toda-like system that does not satisfy the Adler-van Moerbeke criterion of integrability. In the case n 1=0, 1 ( n⩾2) the Eistein equations are integrated and tree-generalizations of the solutions are considered.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(92)90384-X