Quasinormal modes for topologically massive black hole

TL;DR

This paper calculates quasinormal modes of a massive scalar field on the topologically massive black hole, revealing the absence of such modes at the chiral point and confirming unitarity there.

Contribution

It provides the first analysis of quasinormal modes for the CS-BTZ black hole and demonstrates unitarity at the chiral point.

Findings

No quasinormal modes at the chiral point.

Unitarity of the CS-BTZ black hole at the chiral point.

Characterization of perturbations in topologically massive gravity.

Abstract

We calculate quasinormal modes of a massive scalar perturbation on the topologically massive black hole (CS-BTZ black hole). The chiral point of $\mu \ell=1$ corresponds to a newly extremal black hole. We show that there is no quasinormal modes at this point. Accordingly, we prove the unitarity of the CS-BTZ black hole at the chiral point.