Transient Instability of Rapidly Rotating Black Holes
arXiv:1608.04739 · doi:10.1103/PhysRevD.94.084017
Abstract
We analytically study the linear response of a near-extremal Kerr black hole to external scalar, electromagnetic, and gravitational field perturbations. We show that the energy density, electromagnetic field strength, and tidal force experienced by infalling observers exhibit transient growth near the horizon. The growth lasts arbitrarily long in the extremal limit, reproducing the horizon instability of extremal Kerr. We explain these results in terms of near-horizon geometry and discuss potential astrophysical implications.
8 pages. 1 figure. Minor revisions to match published version
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- Synchronous frequencies of extremal Kerr black holes: resonances, scattering and stability
- Spectroscopy of Extremal (and Near-Extremal) Kerr Black Holes
- Spectral stability of near-extremal spacetimes
- Gravitational waves from a plunge into a nearly extremal Kerr black hole
- Exceptional point and hysteresis in perturbations of Kerr black holes
- Spins of supermassive black holes M87* and SgrA* revealed from the size of dark spots in Event Horizon Telescope Images
- Non-modal effects in black hole perturbation theory: Transient Superradiance
- Ergodic Hysteresis of the Kerr black hole spectrum
- A Nonlinear Endpoint of Charged Horizon Instabilities