The Goursat problem at the horizons for the Klein-Gordon equation on the de Sitter-Kerr metric

The main topic of this paper is the Goursat problem at the horizon for the Klein-Gordon equation on the De Sitter-Kerr metric when the angular momentum (per unit of mass) of the black hole is small. Indeed, we solve the Goursat problem for fixed angular momentum n of the field (with the restriction that n is not zero in the case of a massless field).

Automated summary

This paper addresses the Goursat problem for the Klein-Gordon equation on the De Sitter-Kerr metric at the horizon of a black hole, focusing on the case where the black hole's angular momentum is small.