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Spin 2 Quasinormal Modes in Generalized Nariai Spacetimes
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In this work we analytically obtain the quasinormal spectrum for the gravitational perturbation on a higher-dimensional generalization of the Nariai spacetime that is comprised of the direct product of the two-dimensional de Sitter space with several two-spheres. A key step in order to attain this result is to use a suitable basis for the angular functions depending on the rank of the tensorial degree of freedom that one needs to describe. Here we define such a basis, which is a generalization of the tensor spherical harmonics that is suited for spaces that are the product of several spaces of constant curvature.
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Cited by 1 Pith paper
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Quasinormal bulk-edge characters of gravitons in Nariai geometry
Graviton quasinormal modes reproduce only the bulk part of the one-loop determinant on S^2 x S^2; the residual edge character is isolated but its lower-spin interpretation is not derived.
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