Quasi Normal Modes for New Type Black Holes in New Massive Gravity

TL;DR

This paper calculates the quasi-normal mode frequencies of scalar perturbations on new type black holes in three-dimensional new massive gravity, providing exact and analytic results that enhance understanding of their properties and implications for AdS/CFT correspondence.

Contribution

It presents the first detailed analysis of quasi-normal modes for new type black holes in new massive gravity, including exact solutions and analytic approximations.

Findings

Exact quasi-normal mode frequencies in special cases.

Analytic expressions for highly damped modes.

Insights into black hole nature and AdS/CFT implications.

Abstract

We obtain the quasi-normal mode frequencies of scalar perturbation on new type black holes in three dimensional new massive gravity. In some special cases, the exact quasi-normal mode frequencies are obtained by solving scalar field equations exactly. On some parameter regions, the highly damped quasi-normal mode frequencies are obtained in an analytic form by the so-called Stokes line method. This study on quasi-normal modes shed some light on the mysterious nature of these black holes. We also comment about AdS/CFT correspondence and the entropy/area spectrum for new type black holes.