Diffeomorphism invariant eigenvalue problem for metric perturbations in a bounded region
General Relativity and Quantum Cosmology
2009-10-28 v1 High Energy Physics - Theory
Abstract
We suggest a method of construction of general diffeomorphism invariant boundary conditions for metric fluctuations. The case of dimensional Euclidean disk is studied in detail. The eigenvalue problem for the Laplace operator on metric perturbations is reduced to that on -dimensional vector, tensor and scalar fields. Explicit form of the eigenfunctions of the Laplace operator is derived. We also study restrictions on boundary conditions which are imposed by hermiticity of the Laplace operator.
Cite
@article{arxiv.gr-qc/9509051,
title = {Diffeomorphism invariant eigenvalue problem for metric perturbations in a bounded region},
author = {Valeri Marachevsky and Dmitri Vassilevich},
journal= {arXiv preprint arXiv:gr-qc/9509051},
year = {2009}
}
Comments
LATeX file, no figures, no special macros