The zero mass limit of Kerr and Kerr-(anti) de Sitter space-times: revisited

Abstract

We continue studying the zero mass limit of the Kerr-(Anti) de Sitter space-times by investigating the possibility of special values of the frequencies to have polynomial solutions for the radial wave equation, and compute the reflection coefficients at the origin for waves coming from the infinity for the AdS and from the cosmological horizon in the dS cases. . *

Dirac Equation on the Kerr–Newman Spacetime and Heun Functions

“…By imposing the necessary condition for a polynomial form of the Heun confluent functions [18,19], we obtain the resonant frequencies, which are of crucial importance for getting information on the black holes interacting with different quantum fields [24]. In the last years, the Heun functions in either their general or confluent forms have been obtained by many authors, for example, [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] and the references therein.…”