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Transient Instability of Rapidly Rotating Black Holes

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arxiv 1608.04739 v2 pith:E65E3P4Q submitted 2016-08-16 gr-qc astro-ph.HEhep-th

Samuel E. Gralla , Aaron Zimmerman , Peter Zimmerman This is my paper · ORCID
classification gr-qcastro-ph.HEhep-th
keywords blackelectromagneticextremalfieldgrowthhorizoninstabilitykerr
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Teukolsky formalism for nonlinear Kerr perturbations

    gr-qc 2019-08 conditional novelty 8.0 of 10

    A new decomposition expresses sourced linearized perturbations of Kerr as a corrector tensor plus a Hertz potential, enabling an iterative scheme for nonlinear perturbations.

  2. Extremal Black Hole Weather

    gr-qc 2024-12 conditional novelty 7.0 of 10

    Near-extremal Kerr black holes admit an equilibrium spectrum of non-linearly interacting quasinormal modes with amplitudes decaying as 2^{-ell/2} ell^{-7/2}, suggesting an inverse cascade toward large-scale structure.

  3. Ergodic Hysteresis of the Kerr black hole spectrum

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Near-extremal Kerr black holes with massive scalar fields exhibit a cascade of exceptional points that can adiabatically permute arbitrary quasinormal-mode overtones.

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