2008/12/31 by Takeshi Oota, Yukinori Yasui · 33 citations
Physics and Astronomy · #Angular momentum #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Geometry #Gravitation #Mathematical analysis #Mathematical physics #Nonlinear Waves and Solitons #Perturbation (astronomy) #Physics #Quantum mechanics #Riemann curvature tensor #Rotating black hole #Spacetime #Universe #Weyl tensor #de Sitter invariant special relativity #de Sitter–Schwarzschild metric #hep-th
paper · pdf · doi:10.1142/s0217751x10049001
published in International Journal of Modern Physics A 25(15), 3055-3094 (World Scientific) · 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
arxiv created 2010/02/19 · openalex publication_date 2010/06/20 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Generalized Kerr–NUT–de Sitter space–time is the most general space–time 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 space–time. 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.