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.
@article{arxiv.1201.3964,
title = {Spin-3 quasinormal modes of BTZ black hole},
author = {Yun Soo Myung and Yong-Wan Kim and Young-Jai Park},
journal= {arXiv preprint arXiv:1201.3964},
year = {2013}
}
Comments
16 pages, title changed, references added, version to appear in PRD