Kasner asymptotics of mixmaster Horava-Witten cosmology

被引:15
作者
Dabrowski, MP [1 ]
机构
[1] Univ Szczecin, Inst Phys, PL-70451 Szczecin, Poland
关键词
cosmology; superstring; Horava-Witten; chaos;
D O I
10.1016/S0370-2693(00)00010-1
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Bianchi type I and type IX ('Mixmaster') geometries are investigated within the framework of Horava-Witten cosmology. We consider the models for which the fifth coordinate is a S-1/Z(2) orbifold while the four coordinates an such that the 3-space is homogeneous and has geometry of Bianchi type I or IX while the rest six dimensions have already been compactified on a Calabi-Yau space. In particular, we study Kasner-type solutions of the Bianchi I field equations and discuss Kasner asymptotics of Bianchi Ui field equations, We are able to recover the isotropic 3-space solutions found by Lukas ct al. [10]. Finally, we discuss if such Bianchi LY configuration can result in chaotic behaviour of these Horava-Witten cosmologies. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:52 / 57
页数:6
相关论文
共 26 条
[1]   Phenomenology, astrophysics, and cosmology of theories with submillimeter dimensions and TeV scale quantum gravity [J].
Arkani-Hamed, N ;
Dimopoulos, S ;
Dvali, G .
PHYSICAL REVIEW D, 1999, 59 (08)
[2]   The hierarchy problem and new dimensions at a millimeter [J].
Arkani-Hamed, N ;
Dimopoulos, S ;
Dvali, G .
PHYSICS LETTERS B, 1998, 429 (3-4) :263-272
[3]   CHAOTIC BEHAVIOR IN GENERAL-RELATIVITY [J].
BARROW, JD .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1982, 85 (01) :1-49
[4]   KALUZA-KLEIN MIXMASTER UNIVERSES [J].
BARROW, JD ;
STEINSCHABES, J .
PHYSICAL REVIEW D, 1985, 32 (06) :1595-1596
[5]   Is there chaos in low-energy string cosmology? [J].
Barrow, JD ;
Dabrowski, MP .
PHYSICAL REVIEW D, 1998, 57 (12) :7204-7222
[6]   OSCILLATORY APPROACH TO SINGULAR POINT IN RELATIVISTIC COSMOLOGY [J].
BELINSKI.VA ;
LIFSHITZ, EM ;
KHALATNI.IM .
SOVIET PHYSICS USPEKHI-USSR, 1971, 13 (06) :745-&
[7]  
Belinskii V. A., 1973, ZH EKSP TEOR FIZ, V36, p[1121, 1972, 591]
[8]   STRINGS IN BACKGROUND FIELDS [J].
CALLAN, CG ;
FRIEDAN, D ;
MARTINEC, EJ ;
PERRY, MJ .
NUCLEAR PHYSICS B, 1985, 262 (04) :593-609
[9]  
CHAMBLIN HA, HEPTH9903225
[10]  
CHODOS A, 1980, PHYS REV D, V21, P2167, DOI 10.1103/PhysRevD.21.2167