Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime

Details Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime

2008-12-09

arxiv.org/abs/0812.1623v3

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, LaTeX; v2: typos corrected; v3: a reference and comments added, details of calculations are moved to appendices, ver

Scientific paper

Generalized Kerr-NUT-de Sitter spacetime is the most general spacetime which admits a rank-2 closed conformal Killing-Yano tensor. It contains the higher-dimensional Kerr-de Sitter black holes with partially equal angular momenta. We study the separability of gravitational perturbations in the generalized Kerr-NUT-de Sitter spacetime. We show that a certain type of tensor perturbations admits the separation of variables. The linearized perturbation equations for the Einstein condition are transformed into the ordinary differential equations of Fuchs type.

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