Quasinormal modes of a scalar perturbation around a rotating BTZ-like black hole in Einstein-bumblebee gravity

Abstract

We analytically study the quasinormal modes of a scalar perturbation around a rotating BTZ-like black hole in the Einstein-bumblebee gravity. We observe that the Lorentz symmetry breaking parameter imprints only in the imaginary parts of the quasinormal frequencies for the right-moving and left-moving modes. The perturbational field decays more rapidly for the negative Lorentz symmetry breaking parameter, but more slowly for the positive one. The forms of the real parts are the same as those in the usual BTZ black holes. Moreover, we also discuss the $AdS/CFT$ correspondence from the quasinormal modes and find that the Lorentz symmetry breaking parameter enhances the left and right conformal weights $h_L$ and $h_R$ of the operators dual to the scalar field in the boundary. These results could be helpful to understand the $AdS/CFT$ correspondence and the Einstein-bumblebee gravity with the Lorentz symmetry violation.

15 pages, 1 figure

References in corpus (18)

• Signals for Lorentz Violation in Post-Newtonian Gravity
• A Parallax Distance to the Microquasar GRS 1915+105 and a Revised Estimate of its Black Hole Mass
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• Black holes with a cosmological constant in bumblebee gravity
• Exact Kerr-like solution and its shadow in a gravity model with spontaneous Lorentz symmetry breaking
• Schwarzschild-like black hole with a topological defect in bumblebee gravity
• QNMs of slowly rotating Einstein-Bumblebee Black Hole
• Quasinormal frequencies for a black hole in a bumblebee gravity
• Bumblebee gravity with a Kerr-Sen-like solution and its Shadow
• Cosmological implications of Bumblebee vector models
• Einstein-Gauss-Bonnet gravity coupled to bumblebee field in four dimensional spacetime
• Constraint on parameters of a rotating black hole in Einstein-bumblebee theory by quasi-periodic oscillations
• Quasinormal modes and phase Transition of black holes
• Rotating BTZ-like black hole and central charges in Einstein-bumblebee gravity
• Hubble tension as a guide for refining the early Universe: Cosmologies with explicit local Lorentz and diffeomorphism violation
• Scalar perturbations of black holes in Jackiw-Teitelboim gravity
• Astrophysical Constraints on the Bumblebee Model
• Superradiant instability of the Kerr-like black hole in Einstein-bumblebee gravity

Cited by in corpus (15)

• Static and spherically symmetric black holes in gravity with a background Kalb-Ramond field
• Electrically charged black holes in gravity with a background Kalb-Ramond field
• Static neutral black holes in Kalb-Ramond gravity
• Lorentz violation alleviates gravitationally induced entanglement degradation
• Quasinormal modes and greybody factor of a Lorentz-violating black hole
• Exploring antisymmetric tensor effects on black hole shadows and quasinormal frequencies
• Quasinormal spectrum of $(2+1)$-dimensional asymptotically flat, dS and AdS black holes
• Shadow of slowly rotating Kalb-Ramond black holes
• Quasinormal modes of the bumblebee black holes with a global monopole
• The impact of an antisymmetric tensor on charged black holes: evaporation process, geodesics, deflection angle, scattering effects and quasinormal modes
• Lorentz violation induces isospectrality breaking in Einstein-Bumblebee gravity theory
• Observational signature of Lorentz violation in acceleration radiation
• Phantom BTZ black holes
• Boson Stars in Bumblebee Gravity and Their Gravitational Waveforms from Extreme-Mass-Ratio Inspirals
• Probing Lorentz-violating effects via precession and accretion disk images in a rotating bumblebee spacetime