265 citations · 1.2k across the 26 of their papers we have counts for
4 papers · 1 filter
A Conserved Energy Integral for Perturbation Equations in the Kerr-de Sitter Geometry
Hiroshi Umetsu
The analytic proof of mode stability of the Kerr black hole was provided by Whiting. In his proof, the construction of a conserved quantity for unstable mode was crucial. We extend…
Absorption rate of the Kerr-de Sitter black hole and the Kerr-Newman-de Sitter black hole
Hisao Suzuki, Eiichi Takasugi, Hiroshi Umetsu
By using an analytic solution of the Teukolsky equation in the Kerr-de Sitter and Kerr-Newman-de Sitter geometries, an analytic expression of the absorption rate formulae for these…
Analytic Solutions of Teukolsky Equation in Kerr-de Sitter and Kerr-Newman-de Sitter Geometries
Hisao Suzuki, Eiichi Takasugi, Hiroshi Umetsu
The analytic solution of Teukolsky equation in Kerr-de Sitter and Kerr-Newman-de Sitter geometries is presented and the properties of the solution are examined. In particular, we s…
Perturbations of Kerr-de Sitter Black Hole and Heun's Equations
Hisao Suzuki, Eiichi Takasugi, Hiroshi Umetsu
It is well known that the perturbation equations of massless fields for the Kerr-de Sitter geometry can be written in the form of separable equations. The equations have five defin…