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Spin-3 quasinormal modes of the BTZ black hole

Yun Soo Myung1,*, Yong-Wan Kim1,†, and Young-Jai Park2,3,‡

  • 1Institute of Basic Science and School of Computer Aided Science, Inje University, Gimhae 621-749, Korea
  • 2Department of Physics and Center for Quantum Spacetime, Sogang University, Seoul 121-742, Korea
  • 3Department of Service Systems Management and Engineering, Sogang University, Seoul 121-742, Korea

  • *ysmyung@inje.ac.kr
  • ywkim65@gmail.com
  • yjpark@sogang.ac.kr

Phys. Rev. D 85, 084007 – Published 6 April, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.084007

Abstract

Using the operator approach, we obtain quasinormal modes (QNMs) of the Bañados-Teitelboim-Zanelli 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.

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