Spin-3 quasinormal modes of BTZ black hole

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.

16 pages, title changed, references added, version to appear in PRD

References in corpus (7)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Topologically Massive Higher Spin Gravity
• Spin-3 Topological Massive Gravity
• Higher spin quasinormal modes and one-loop determinants in the BTZ black hole
• Classical stability of BTZ black hole in new massive gravity
• Classical Stability of the BTZ Black Hole in Topologically Massive Gravity

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• Quasinormal modes of BTZ black hole and Hawking-like radiation in graphene
• Quasinormal modes around the BTZ black hole at the tricritical generalized massive gravity
• Logarithmic quasinormal modes of a spin-3 field around the BTZ black hole