Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime
High Energy Physics - Theory
2014-11-18 v3
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.
Keywords
Cite
@article{arxiv.0812.1623,
title = {Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime},
author = {Takeshi Oota and Yukinori Yasui},
journal= {arXiv preprint arXiv:0812.1623},
year = {2014}
}
Comments
47 pages, LaTeX; v2: typos corrected; v3: a reference and comments added, details of calculations are moved to appendices, version accepted for publication in IJMPA