Scalar wave propagation in topological black hole backgrounds

Abstract

We consider the evolution of a scalar field coupled to curvature in topological black hole spacetimes. We solve numerically the scalar wave equation with different curvature-coupling constant $ξ$ and show that a rich spectrum of wave propagation is revealed when $ξ$ is introduced. Relations between quasinormal modes and the size of different topological black holes have also been investigated.