Analytic solutions of the Teukolsky equation in Kerr-de Sitter and Kerr-Newman-de Sitter geometries

Abstract

An analytic solution of the Teukolsky equation in Kerr-de Sitter and Kerr-Newman-de Sitter geometries is presented, and the properties of this solution are examined. In particular, we show that our solution satisfies the Teukolsky-Starobinsky identities explicitly and fix the relative normalization between solutions with spin weights s and -s.