Linear waves on constant radius limits of cosmological black hole spacetimes
Linear waves on constant radius limits of cosmological black hole spacetimes
In this paper we consider the Klein-Gordon equation on spherically symmetric background spacetimes with a constant area radius. The spacetimes under consideration are Nariai and Plebanski-Hacyan, and can be considered constant radius limits of Reissner-Nordstrom-de Sitter spacetimes. We prove boundedness in the case of a non-negative Klein Gordon mass and …