Non-modal effects in black hole perturbation theory: Transient Superradiance
arXiv:2503.05871 · 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.
arXiv comment30 pages, 13 figures, 1 table. Comments welcome. Added some references. Matches published version
References in corpus (28)
- Advanced LIGO
- Building an AdS/CFT superconductor
- Holographic Superconductors
- Exploring the String Axiverse with Precision Black Hole Physics
- Pseudospectrum and black hole quasi-normal mode (in)stability
- Landscape of superconducting membranes
- A quantum hydrodynamical description for scrambling and many-body chaos
- Black hole scrambling from hydrodynamics
- Many-body chaos and energy dynamics in holography
- Quantifying excitations of quasinormal mode systems
- About the Significance of Quasinormal Modes of Black Holes
- On quasinormal modes of asymptotically anti-de Sitter black holes
- Schwinger pair production in AdS2
- Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole
- Pseudospectrum of horizonless compact objects: a bootstrap instability mechanism
- Hyperboloidal slicing approach to quasi-normal mode expansions: the Reissner-Nordström case
- Rigorous bounds on transport from causality
- Hyperboloidal approach for static spherically symmetric spacetimes: a didactical introduction and applications in black-hole physics
- Structural aspects of the anti-de Sitter black hole pseudospectrum
- Transient Instability of Rapidly Rotating Black Holes
- Non-modal linear stability of the Schwarzschild black hole
- Charged Quantum Fields in AdS
- A toy model of hyperboloidal approach to quasinormal modes
- Transient dynamics of quasinormal mode sums
- The Hydrohedron: Bootstrapping Relativistic Hydrodynamics
- Energy extraction from AdS black holes via superradiance
- Excited hairy black holes: dynamical construction and level transitions
- Black hole nonmodal linear stability: the Schwarzschild (A)dS cases
Cited by in corpus (4)
- Transients in black hole perturbation theory
- Correspondence between quasinormal modes and grey-body factors of Schwarzschild--Tangherlini black holes
- Spectral instability of horizonless compact objects within astrophysical environments
- Adiabatic hydrodynamization and quasinormal modes of nonthermal attractors