Curvature invariants in type-III spacetimes

被引：9
|
作者：
Pravda, V [1 ]
机构：
[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic
来源：
CLASSICAL AND QUANTUM GRAVITY | 1999年 / 16卷 / 10期
关键词：
D O I：
10.1088/0264-9381/16/10/321
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The results of Bicak and Pravda (1998 Class. Quantum Grav. 15 1539) are generalized for vacuum type-III solutions with, in general, a non-vanishing cosmological constant Lambda. It is shown that all curvature invariants containing derivatives of the Weyl tensor vanish if a type-III spacetime admits a non-expanding and non-twisting null geodesic congruence. A non-vanishing curvature invariant containing first derivatives of the Weyl tensor is found in the case of type-III spacetime with expansion or twist.
引用
收藏
页码：3321 / 3326
页数：6
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