Linearization instability of gravity waves?

被引:79
作者
Maartens, R [1 ]
机构
[1] UNIV NATAL,DEPT MATH & APPL MATH,ZA-4001 DURBAN,SOUTH AFRICA
来源
PHYSICAL REVIEW D | 1997年 / 55卷 / 02期
关键词
D O I
10.1103/PhysRevD.55.463
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Gravity waves in irrotational dust spacetimes are characterized by a nonzero magnetic Weyl tensor H-ab. In the linearized theory, the divergence of H-ab is set to zero. Recently Lesame, Ellis, and Dunsby [Phys. Rev. D 53, 738 (1996)] presented an argument to show that, in the exact nonlinear theory, divH = O forces H-ab = 0, thus implying a Linearization instability for gravity waves interacting with matter. However a sign error in the equations invalidates their conclusion. Bianchi type V spacetimes are shown to include examples with divH = 0 not equal H-ab. An improved covariant formalism is used to show that in a generic irrotational dust spacetime the covariant constraint equations are preserved under evolution. It is shown elsewhere that divH = 0 does not generate further conditions.
引用
收藏
页码:463 / 467
页数:5
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