Accelerating black holes: quasinormal modes and late-time tails

Abstract

Black holes found in binaries move at very high velocities relative to our own reference frame and can accelerate due to the emission of gravitational radiation. Here, we investigate the numerical stability and late-time behavior of linear scalar perturbations in accelerating black holes described by the $C-$metric. We identify a family of quasinormal modes associated with the photon surface and a brand new family of purely imaginary modes associated with the boost parameter of the accelerating black hole spacetime. When the accelerating black hole is charged, we find a third family of modes which dominates the ringdown waveform near extremality. Our frequency and time domain analysis indicate that such spacetimes are stable under scalar fluctuations, while the late-time behavior follows an exponential decay law, dominated by quasinormal modes. This result is in contrast with the common belief that such perturbations, for black holes without a cosmological constant, always have a power-law cutoff. In this sense, our results suggest that the asymptotic structure of black hole backgrounds does not always dictate how radiative fields behave at late times.

15 pages, 8 figures, matches published version

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• The shadows of accelerating Kerr-Newman black hole and constraints from M87*
• Null geodesics in the C-metric with cosmological constant
• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor
• Three-dimensional accelerating AdS black holes in $F(R)$ gravity
• Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes
• Quasinormal modes of gravitational perturbation for uniformly accelerated black holes
• Relevant scales for the $C$-metric with positive cosmological constant
• Accelerating Kaluza-Klein black hole and Kerr/CFT correspondence
• Pseudospectrum of Reissner-Nordström black holes: quasinormal mode instability and universality
• Black hole physics within $f(R)$ gravity: Quasi-normal spectra and greybody factors
• Holographic Conformal Anomaly and a-Theorem in 5D Scalar-Tensor Theories from Heterotic Strings
• Null integrability and photon phenomenology in the accelerated Schwarzschild black hole