Spin-3 quasinormal modes of BTZ black hole

TL;DR

This paper derives spin-3 quasinormal modes of the BTZ black hole using an operator approach in topologically massive gravity, revealing differences from second-order solutions but confirming consistency in left-moving modes.

Contribution

It introduces an operator-based method to compute spin-3 quasinormal modes of BTZ black holes, clarifying discrepancies with traditional second-order approaches.

Findings

Left-moving QNMs are identical in both approaches.

Right-moving QNMs from second-order solutions are descendants of the operator approach.

Different boundary conditions lead to different QNM spectra.

Abstract

Using the operator approach, we obtain quasinormal modes (QNMs) of BTZ black hole in spin-3 topologically massive gravity by solving the first-order equation of motion with the transverse-traceless condition. We find that these are different from those obtained when solving the second-order differential equation for the third-rank tensor of spin-3 field subject to suitable boundary conditions and having the sign ambiguity of mass. However, it is shown clearly that two approaches to the left-moving QNMs are identical, while the right-moving QNMs of solving the second-order equation are given by descendants of the operator approach.