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arXiv · 0812.1623

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

Takeshi Oota·Yukinori Yasui
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Abstract

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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Takeshi Oota, Yukinori Yasui. 2008-12-09. Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime. https://doi.org/10.1142/s0217751x10049001

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