First- and second-order perturbations of hypersurfaces

被引：30
作者：
Mars, M [1 ]
机构：
[1] Univ Salamanca, Fac Ciencias, Salamanca 37008, Spain
来源：
CLASSICAL AND QUANTUM GRAVITY | 2005年 / 22卷 / 16期
关键词：
D O I：
10.1088/0264-9381/22/16/013
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In this paper, we find the first- and second-order perturbations of the induced metric and the extrinsic curvature of a non-degenerate hypersurface Sigma in a spacetime (M, g), when the metric g is perturbed arbitrarily to second order and the hypersurface itself is allowed to change perturbatively (i.e. to move within spacetime) also to second order. The results are fully general and hold in arbitrary dimensions and signature. An application of these results for the perturbed matching theory between spacetimes is presented.
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收藏
页码：3325 / 3347
页数：23
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