MULTIDIMENSIONAL MIXMASTER MODELS

Szydlowski, M.; Biesiada, M.; Szczesny, J.

doi:10.1016/0370-2693(87)90880-X

MULTIDIMENSIONAL MIXMASTER MODELS

1987

4 pages

Published in:

Phys.Lett.B 195 (1987) 27-30

DOI:

10.1016/0370-2693(87)90880-X

View in:

reference search10 citations

Citations per year

Abstract: (Elsevier)

The problem of chaotic behaviour in multidimensional mixmaster models is discussed. We classify n -dimensional homogeneous spaces possessing the structure of the product M 3 ×B, where M 3 is a three-dimensional homogenous space. We show that compactness of the microspace B is for dimension 3< n ⩽10 the sufficient condition for the chaotic regime to disappear. We characterize the class of spaces of dimension n >10 for which the chaotic regime does not exist.

COSMOLOGICAL MODEL
FIELD THEORY: SPACE-TIME
FIELD THEORY: HIGHER-DIMENSIONAL
Einstein equation
FIELD EQUATIONS: SOLUTION
FIELD THEORY: CHAOTIC BEHAVIOR
ALGEBRA: LIE
ALGEBRA: REPRESENTATION

References(7)

Figures(0)

Oscillatory approach to a singular point in the relativistic cosmology

- Adv.Phys. 19 (1970) 525-573
•
DOI:
- 10.1080/00018737000101171

Chaotic behavior in general relativity

John D. Barrow
(
- UC, Berkeley and
- Sussex U.
)

- Phys.Rept. 85 (1982) 1-49
•
DOI:
- 10.1016/0370-1573(82)90171-5

Modeling in chaotic relativity

Andrew Zardecki
(
- Los Alamos
)

- Phys.Rev.D 28 (1983) 1235-1242
•
DOI:
- 10.1103/PhysRevD.28.1235

KALUZA-KLEIN MIXMASTER UNIVERSES

John D. Barrow
(
- Sussex U.
)
,
J. Stein-Schabes
(
- Sussex U.
)

- Phys.Rev.D 32 (1985) 1595-1596,
- Phys. Rev. D32 ( 1985) 1595-1596
•
DOI:
- 10.1103/PhysRevD.32.1595

NONOSCILLATORY BEHAVIOR IN VACUUM KALUZA-KLEIN COSMOLOGIES

J. Demaret
(
- Liege U. and
- CECS, Valdivia
)
,
M. Henneaux
(
- Liege U. and
- CECS, Valdivia
)
,
P. Spindel
(
- UMH, Mons and
- Brussels U.
)

- Phys.Lett.B 164 (1985) 27-30,
- In *Liege 1986, Proceedings, Origin and early history of the universe* 371-376.
•
DOI:
- 10.1016/0370-2693(85)90024-3

The Fate of the Mixmaster Behavior in Vacuum Inhomogeneous {Kaluza-Klein} Cosmological Models

J. Demaret
(
- Liege U.
)
,
J.L. Hanquin
(
- Liege U.
)
,
M. Henneaux
(
- Brussels U. and
- CECS, Valdivia
)
,
P. Spindel
(
- UMH, Mons
)
,
A. Taormina
(
- UMH, Mons
)

- Phys.Lett.B 175 (1986) 129-132,
- Phys. Lett. B175 ( 1986) 129-132
•
DOI:
- 10.1016/0370-2693(86)90701-X

The Group Theoretical Classification of the Eleven-dimensional Classical Homogeneous {Kaluza-Klein} Cosmologies

M. Demianski
(
- Warsaw U.
)
,
Z. Golda
(
- Cracow, Copernicus Astron. Ctr.
)
,
L.M. Sokolowski
(
- Jagiellonian U.
)
,
M. Szydlowski
(
- Jagiellonian U.
)
,
P. Turkowski
(
- Cracow, Academy of Agriculture
)

- J.Math.Phys. 28 (1987) 171-173,
- J. Math. Phys. 28 ( 1987) 171-173
•
DOI:
- 10.1063/1.527784