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

Myung, Yun Soo; Park, Young-Jai

doi:10.1103/physrevd.85.124018

Cited by 3 publications

(2 citation statements)

References 45 publications

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“…A higher-spin analog of TMG was introduced in [160,161]. Some further aspects like the 1-loop partition function [162] and quasi-normal modes [163] where studied at the critical point. On general grounds, if rank-2 Jordan cells appear in AdS 3 higher-spin gravity they should be of the form…”

Section: Generalizations To Different Spins And/or Backgroundsmentioning

confidence: 99%

Holographic applications of logarithmic conformal field theories

Grumiller¹,

Riedler²,

Rosseel³

et al. 2013

J. Phys. A: Math. Theor.

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We review the relations between Jordan cells in various branches of physics, ranging from quantum mechanics to massive gravity theories. Our main focus is on holographic correspondences between critically tuned gravity theories in Antide Sitter space and logarithmic conformal field theories in various dimensions. We summarize the developments in the past five years, include some novel generalizations and provide an outlook on possible future developments.

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Section: Generalizations To Different Spins And/or Backgroundsmentioning

confidence: 99%

Holographic applications of logarithmic conformal field theories

Grumiller¹,

Riedler²,

Rosseel³

et al. 2013

J. Phys. A: Math. Theor.

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“…At the same time, numerious works on quasinormal modes of BTZ-like black holes [36][37][38][39][40][41][42][43] did not include higher curvature corrections and were mainly devoted to asymptotically AdS spacetimes.…”

Section: Introductionmentioning

confidence: 99%

Quasinormal Spectrum of (2+1)$(2+1)$‐Dimensional Asymptotically Flat, dS and AdS Black Holes

Skvortsova

2024

Fortschritte der Physik

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While ‐dimensional black holes in the Einstein theory allow for only the anti‐de Sitter (AdS) asymptotic, when the higher curvature correction is tuned on, the asymptotically flat, de Sitter, and AdS cases are included. Here, a detailed study of the stability and quasinormal spectra of the scalar field perturbations around such black holes with all three asymptotics is proposed. Calculations of the frequencies are fulfilled with the help of the 6th order Wentzel–Kramers–Brillouin (WKB) method with Pade approximants, Bernstein polynomial method, and time‐domain integration. Results obtained by all three methods are in a very good agreement in their common range of applicability. When the multipole moment is equal to zero, the purely imaginary, i.e., non‐oscillatory, modes dominate in the spectrum for all types of the asymptotic behavior, while the spectrum at higher resembles that in four‐dimensional spacetime with the corresponding asymptotic.

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Quasinormal modes around the BTZ black hole at the tricritical generalized massive gravity

Myung

Park

2012

Phys. Rev. D

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Employing the operator method, we obtain log-square quasinormal modes and frequencies of a graviton around the BTZ black hole at the tricritical point of the generalized massive gravity. The log-square quasinormal frequencies are also obtained by considering a finite temperature conformal field theory. This shows the AdS/LCFT correspondence at the tricritical point approximately. We discuss a truncation process to the unitary theory on the BTZ black hole background.

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

Cited by 3 publications

References 45 publications

Holographic applications of logarithmic conformal field theories

Holographic applications of logarithmic conformal field theories

Quasinormal Spectrum of (2+1)$(2+1)$‐Dimensional Asymptotically Flat, dS and AdS Black Holes

Quasinormal modes around the BTZ black hole at the tricritical generalized massive gravity

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