Electromagnetic quasinormal modes of five-dimensional topological black holes

TL;DR

This paper computes the exact electromagnetic quasinormal modes of five-dimensional topological black holes, revealing boundary condition effects and potential instabilities in these spacetimes.

Contribution

It provides the first exact calculations of electromagnetic quasinormal frequencies for these black holes, highlighting the importance of boundary conditions and stability analysis.

Findings

Exact QNF for vector and scalar electromagnetic fields obtained.

Changing boundary conditions yields a discrete spectrum for scalar fields.

Potential unstable modes identified in five-dimensional topological black holes.

Abstract

We calculate exactly the QNF of the vector type and scalar type electromagnetic fields propagating on a family of five-dimensional topological black holes. To get a discrete spectrum of quasinormal frequencies for the scalar type electromagnetic field we find that it is necessary to change the boundary condition usually imposed at the asymptotic region. Furthermore for the vector type electromagnetic field we impose the usual boundary condition at the asymptotic region and we discuss the existence of unstable quasinormal modes in the five-dimensional topological black holes.