Non-modal effects in black hole perturbation theory: transient superradiance
Non-modal effects in black hole perturbation theory: transient superradiance
We study the non-modal stability of black hole spacetimes under linear perturbations. We show that large-amplitude growth can occur at finite time, despite asymptotic decay of linear perturbations. In the example presented, the physical mechanism is a transient form of superradiance, and is qualitatively similar to the transition to turbulence in Navier-Stokes shear flows. As part of the construction we provide a theorem for the positivity of QNM energies, and introduce a truncated-Hamiltonian approach to black hole pseudospectra which does not suffer from convergence issues.
Black Holes, Gauge-Gravity Correspondence, Holography and Hydrodynamics
Carballo, Javier
6c0512bf-c1ae-4e62-9b5e-dfac07d23195
Pantelidou, Christiana
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Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
22 August 2025
Carballo, Javier
6c0512bf-c1ae-4e62-9b5e-dfac07d23195
Pantelidou, Christiana
c20e6717-394f-4884-b741-d5ab233c8e27
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Carballo, Javier, Pantelidou, Christiana and Withers, Benjamin
(2025)
Non-modal effects in black hole perturbation theory: transient superradiance.
Journal of High Energy Physics, 2025 (8), [179].
(doi:10.1007/JHEP08(2025)179).
Abstract
We study the non-modal stability of black hole spacetimes under linear perturbations. We show that large-amplitude growth can occur at finite time, despite asymptotic decay of linear perturbations. In the example presented, the physical mechanism is a transient form of superradiance, and is qualitatively similar to the transition to turbulence in Navier-Stokes shear flows. As part of the construction we provide a theorem for the positivity of QNM energies, and introduce a truncated-Hamiltonian approach to black hole pseudospectra which does not suffer from convergence issues.
Text
2503.05871v2
- Accepted Manuscript
Text
JHEP08(2025)179
- Version of Record
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Accepted/In Press date: 20 July 2025
Published date: 22 August 2025
Keywords:
Black Holes, Gauge-Gravity Correspondence, Holography and Hydrodynamics
Identifiers
Local EPrints ID: 505641
URI: http://eprints.soton.ac.uk/id/eprint/505641
ISSN: 1126-6708
PURE UUID: d6415d87-f7c2-4b43-810c-9eecb4bca7e8
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Date deposited: 15 Oct 2025 16:38
Last modified: 16 Oct 2025 01:27
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Contributors
Author:
Javier Carballo
Author:
Christiana Pantelidou
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