Logarithmic quasinormal modes of a spin-3 field around the BTZ black hole

TL;DR

This paper derives logarithmic quasinormal modes for a spin-3 field around the BTZ black hole using an operator approach, linking results to logarithmic conformal field theory at the critical point.

Contribution

It introduces a method to compute logarithmic quasinormal modes for higher-spin fields in black hole backgrounds, connecting gravity and conformal field theory.

Findings

Logarithmic quasinormal frequencies are obtained at the critical point.

Results are consistent with predictions from logarithmic conformal field theory.

The operator approach effectively captures the behavior of spin-3 fields in this context.

Abstract

Using the operator approach, we obtain logarithmic quasinormal modes and frequencies of a traceless spin-3 field around the BTZ black hole at the critical point of the spin-3 topologically massive gravity. The logarithmic quasinormal frequencies are also confirmed by considering logarithmic conformal field theory.