Quasinormal modes of gravitational perturbation for uniformly accelerated black holes
arXiv:2402.02027 · doi:10.1103/PhysRevD.109.084049
Abstract
We first show that the master equations for massless perturbations of accelerating rotating black holes can be transformed into the Heun's equation. The quasinormal modes of the black holes can be easily calculated in the framework of the Heun's equation. We identify three modes for the tensor perturbations: the photon sphere modes, which reduce to the quasinormal modes of Kerr black holes when the acceleration parameter vanishes; the near-extremal modes, which branch from the first set and become dominant when the spin is near extremal; and the acceleration modes, which are closely related to the acceleration horizon. We calculate the frequency spectrum of the QNMs in various spin and acceleration parameters. We choose an angular boundary condition that keeps the angular function regular at and , which is consistent with the boundary condition of the Kerr black hole. The conical singularity caused by the acceleration influences this boundary condition. We find that the modes have an anomalous behavior at particular accelerations.
arXiv comment16 pages, 10 figures; updated version, added references and some details, accepted for publication in PRD
References in corpus (37)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- X-ray Properties of Black-Hole Binaries
- Quasinormal modes of black holes and black branes
- Tests of general relativity with GW150914
- Quasinormal modes of black holes: from astrophysics to string theory
- Properties of the Binary Black Hole Merger GW150914
- Geodesic stability, Lyapunov exponents and quasinormal modes
- Inspiral, merger and ring-down of equal-mass black-hole binaries
- Black Hole Spectroscopy: Testing General Relativity through Gravitational Wave Observations
- Inspiral, merger and ringdown of unequal mass black hole binaries: a multipolar analysis
- Consequences of gravitational radiation recoil
- Quasinormal modes and Strong Cosmic Censorship
- Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
- Exploring black hole superkicks
- Interpreting the C-metric
- Perturbations of Kerr-de Sitter Black Hole and Heun's Equations
- Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
- Branching of quasinormal modes for nearly extremal Kerr black holes
- Pair production of black holes on cosmic strings
- Breaking Cosmic Strings without Monopoles
- Accelerating and rotating black holes
- Accelerating black holes: quasinormal modes and late-time tails
- Black hole kicks as new gravitational wave observables
- Quasinormal modes of extremal black holes
- CFT Duals for Accelerating Black Holes
- Tracking black hole kicks from gravitational wave observations
- A new form of the rotating C-metric
- Hawking radiation by spherically-symmetric static black holes for all spins: I -- Teukolsky equations and potentials
- Stability of the Cauchy horizon in accelerating black-hole spacetimes
- Quasinormal modes of Kerr-de Sitter black holes via the Heun function
- Massless field perturbations of the spinning C metric
- Distinguishing a Slowly Accelerating Black Hole by Differential Time Delays of Images
- Hidden conformal symmetry for the accelerating Kerr black holes
- Quasinormal Modes in Near-Extremal Spinning C-Metric
- Lensing Signatures of a Slowly-Accelerated Black Hole
- Massless Charged Particles Tunneling Radiation from a RN-dS Horizon and the Linear and Quadratic GUP