Transient instability of rapidly rotating black holes

Samuel E. Gralla; Aaron Zimmerman; Peter Zimmerman

doi:10.1103/PhysRevD.94.084017

Transient instability of rapidly rotating black holes

Samuel E. Gralla, Aaron Zimmerman, Peter Zimmerman

Physics

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

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.

Original language	English (US)
Article number	084017
Journal	Physical Review D
Volume	94
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.94.084017
State	Published - Oct 13 2016

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevD.94.084017

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title = "Transient instability of rapidly rotating black holes",

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.",

author = "Gralla, {Samuel E.} and Aaron Zimmerman and Peter Zimmerman",

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AU - Zimmerman, Peter

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N2 - 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.

AB - 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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Transient instability of rapidly rotating black holes

Abstract

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