Untitled

Kirillov, V. P.; Kutsenko, A. V.; Mikhaǐlov, Yu. A.; Sklizkov, G. V.; Starodub, A. N.; Sudakov, O. A.; Zhurovich, K.

doi:10.1023/a:1024843908143

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2004

2020

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We remind that near the singularity one can have an oscillating behavior like in the well-known mixmaster (Bianchi-IX) model [15]- [17] (see also [26]- [28]). Multidimensional generalizations and analogues of this model were considered by many authors (see, for example, [18]- [25]).…”

Section: Introductionmentioning

confidence: 97%

Billiard Representation for Multidimensional Multi-Scalar Cosmological Model with Exponential Potentials

Dehnen

Ivashchuk

Melnikov³

2004

General Relativity and Gravitation

View full text Add to dashboard Cite

Multidimensional cosmological-type model with n Einstein factor spaces in the theory with l scalar fields and multiple exponential potential is considered. The dynamics of the model near the singularity is reduced to a billiard on the (N − 1)-dimensional Lobachevsky space H N −1 , N = n + l. It is shown that for n > 1 the oscillating behaviour near the singularity is absent and solutions have an asymptotical 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.

show abstract