Gravitational waves from a plunge into a nearly extremal Kerr black hole

Abstract

We study numerically in the time domain the linearized gravitational waves emitted from a plunge into a nearly extremal Kerr black hole by solving the inhomogeneous Teukolsky equation. We consider spinning black holes for which the specific spin angular momentum $a/M=1-\epsilon$, and we consider values of $\epsilon \ge 10^{-6}$. We find an effective transient behavior for the quasi-normal ringdown: the early phase of the quasi-normal ringdown is governed by a decay according to inverse time, with frequency equaling twice the black hole's horizon frequency. The smaller $\epsilon$ the later the transition from this transient inverse time decay to exponential decay. Such sources, if exist, may be interesting potential sources for terrestrial or space borne gravitational wave observatories.

arXiv comment7 pages, 9 figures

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Cited by in corpus (13)

• Observational Signature of High Spin at the Event Horizon Telescope
• Particle motion near high-spin black holes
• Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds
• Gravitational waves from plunges into Gargantua
• Horizon instability of extremal Reissner-Nordström black holes to charged perturbations
• Critical Emission from a High-Spin Black Hole
• Polarization Whorls from M87* at the Event Horizon Telescope
• (Transient) Scalar Hair for (Nearly) Extreme Black Holes
• Repeated Ringing of the Black Hole's Bell: Quasi-Normal Bursts from Highly Eccentric, Extreme Mass-Ratio Binaries
• Climbing up the memory staircase: Equatorial zoom-whirl orbits
• Toward exponentially-convergent simulations of extreme-mass-ratio inspirals: A time-domain solver for the scalar Teukolsky equation with singular source terms
• Numerical Evidence for Non-Axisymmetric Gravitational "Hair" for Extremal Kerr Black Hole Spacetimes with Hyperboloidal Foliations
• Analysis of late-time tails in spin-aligned eccentric binary black hole mergers