Scalar wave propagation in topological black hole backgrounds

TL;DR

This paper investigates how scalar waves evolve in topological black hole backgrounds, revealing complex behaviors influenced by curvature coupling and linking quasinormal modes to black hole size.

Contribution

It introduces numerical analysis of scalar wave propagation with curvature coupling in topological black holes, highlighting new spectral features and mode-size relations.

Findings

Curvature coupling significantly affects wave propagation.

A diverse spectrum of quasinormal modes is observed.

Relations between modes and black hole size are established.

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 $\xi$ and show that a rich spectrum of wave propagation is revealed when $\xi$ is introduced. Relations between quasinormal modes and the size of different topological black holes have also been investigated.