Integrability of irrotational silent cosmological models

被引:78
|
作者
vanElst, H
Uggla, C
Lesame, WM
Ellis, GFR
Maartens, R
机构
[1] UNIV STOCKHOLM,DEPT PHYS,S-11385 STOCKHOLM,SWEDEN
[2] LULEA UNIV TECHNOL,DEPT PHYS,S-95187 LULEA,SWEDEN
[3] UNIV FT HARE,DEPT APPL MATH,ZA-5700 ALICE,SOUTH AFRICA
[4] UNIV CAPE TOWN,DEPT APPL MATH,ZA-7700 CAPE TOWN,SOUTH AFRICA
[5] UNIV PORTSMOUTH,SCH MATH STUDIES,PORTSMOUTH PO1 2EG,HANTS,ENGLAND
关键词
D O I
10.1088/0264-9381/14/5/018
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We revisit the issue of integrability conditions for the irrotational silent cosmological models. We formulate the problem both in 1 + 3 covariant and 1 + 3 orthonormal frame notation and show that there exists a series of constraint equations that need to be satisfied. These conditions hold identically for FLRW-linearized silent models, but not in the general exact nonlinear case. Thus there is a linearization instability and it is highly unlikely that there is a large class of silent models. We conjecture that there are no spatially inhomogeneous solutions with Weyl curvature of Petrov type I and indicate further issues that await clarification.
引用
收藏
页码:1151 / 1162
页数:12
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