A diffeomorphism-invariant eigenvalue problem for metric perturbations in a bounded region

被引:21
作者
Marachevsky, VN
Vassilevich, DV
机构
[1] Department of Theoretical Physics, St Petersburg University
关键词
D O I
10.1088/0264-9381/13/4/006
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We suggest a method of construction of general diffeomorphism-invariant boundary conditions for metric fluctuations. The case of the (d + 1)-dimensional Euclidean disc is studied in detail. The eigenvalue problem for the Laplace operator on metric perturbations is reduced to that on d-dimensional vector, tensor and scalar fields. The explicit form of the eigenfunctions of the Laplace operator is derived. We also study restrictions on boundary conditions which are imposed by the symmetry of the Laplace operator.
引用
收藏
页码:645 / 652
页数:8
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