Scalar field and electromagnetic perturbations on locally rotationally symmetric spacetimes

被引:53
作者
Betschart, G [1 ]
Clarkson, CA
机构
[1] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Rondebosch, South Africa
[2] Chalmers, Dept Electromagnet, SE-41296 Gothenburg, Sweden
[3] Univ Portsmouth, Inst Cosmol & Gravitat, Portsmouth PO1 2EG, Hants, England
关键词
D O I
10.1088/0264-9381/21/23/018
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study scalar field and electromagnetic perturbations on locally rotationally symmetric (LRS) class II spacetimes, exploiting a recently developed covariant and gauge-invariant perturbation formalism. From the Klein-Gordon equation and Maxwell's equations, respectively, we derive covariant and gauge-invariant wave equations for the perturbation variables and thereby find the generalized Regge-Wheeler equations for these LRS class II spacetime perturbations. As illustrative examples, the results are discussed in detail for the Schwarzschild and Vaidya spacetime; and briefly for some classes of dust universes.
引用
收藏
页码:5587 / 5607
页数:21
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