Billiard representation for multidimensional multi-scalar cosmological model with exponential potentials

A multidimensional cosmological-type model with n Einstein factor spaces in the theory with l scalar fields and multiple exponential potentials is considered. The dynamics of the model near the singularity is reduced to a billiard on the (N - 1)-dimensional Lobachevsky space HN-1, N = n + l. It is shown that for n > 1 the oscillating behaviour near the singularity is absent and solutions have an asymptotic Kasner-like behavior. For the case of one scale factor (n = 1) billiards with finite volumes (e.g. coinciding with that of the Bianchi-IX model) are described and oscillating behaviour of scalar fields near the singularity is obtained.

Authors
Dehnen H.1 , Ivashchuk V.D. 2 , Melnikov V.N. 3
Number of issue
7
Language
English
Pages
1563-1578
Status
Published
Volume
36
Year
2004
Organizations
  • 1 Universität Konstanz, Fakultät für Physik, Fach M 568, D-78457, Konstanz, Germany
  • 2 Ctr. Gravitation/Fundamental Metrol., VNIIMS, 3/1 M. Ulyanovoy Str., Moscow 119313, Russian Federation
  • 3 Inst. of Gravitation and Cosmology, PFUR, 6 Miklukho-Maklaya Str., Moscow 117198, Russian Federation
Keywords
Cosmology; Higher-dimensional model; Kasner solution
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/3631/
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