Critical Exponents of Extremal Kerr Perturbations
arXiv:1711.00855 · doi:10.1088/1361-6382/aab140
Abstract
We show that scalar, electromagnetic, and gravitational perturbations of extremal Kerr black holes are asymptotically self-similar under the near-horizon, late-time scaling symmetry of the background metric. This accounts for the Aretakis instability (growth of transverse derivatives) as a critical phenomenon associated with the emergent symmetry. We compute the critical exponent of each mode, which is equivalent to its decay rate. It follows from symmetry arguments that, despite the growth of transverse derivatives, all generally covariant scalar quantities decay to zero.
21 pages. v2 updated to match published version
References in corpus (9)
- Near-horizon symmetries of extremal black holes
- Gravitational instability of an extreme Kerr black hole
- Linear mode stability of Kerr-Newman and its quasinormal modes
- Turbulent Black Holes
- Horizon Instability of Extremal Kerr Black Holes: Nonaxisymmetric Modes and Enhanced Growth Rate
- Transient Instability of Rapidly Rotating Black Holes
- Synchronous frequencies of extremal Kerr black holes: resonances, scattering and stability
- Is there a breakdown of effective field theory at the horizon of an extremal black hole?
- Separating metric perturbations in near-horizon extremal Kerr
Cited by in corpus (26)
- Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
- An approach to computing spectral shifts for black holes beyond Kerr
- Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds
- Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion
- Gravitational waves from plunges into Gargantua
- Horizon hair of extremal black holes and measurements at null infinity
- Breaking away from the near horizon of extreme Kerr
- Theory-agnostic framework for dynamical scalarization of compact binaries
- Spectroscopy of Extremal (and Near-Extremal) Kerr Black Holes
- Deformation of extremal black holes from stringy interactions
- Scaling and Universality in Extremal Black Hole Perturbations
- Critical Emission from a High-Spin Black Hole
- Near-extremal black holes at late times, backreacted
- Scalar and gravitational hair for extreme Kerr black holes
- Perturbations of Extremal Kerr Spacetime: Analytic Framework and Late-time Tails
- Discrete scale invariance in holography revisited
- Scale invariance and constants of motion
- Semi-local Quantum Criticality and the Instability of Extremal Planar Horizons
- Numerical investigation of the late-time tails of the solutions of the Fackerell-Ipser equation
- Revisiting the Aretakis constants and instability in two-dimensional Anti-de Sitter spacetimes
- Horizon Instability of the Extremal BTZ Black Hole
- Scalar and Gravitational Transient "Hair" for Near-Extremal Black Holes
- Numerical Evidence for Non-Axisymmetric Gravitational "Hair" for Extremal Kerr Black Hole Spacetimes with Hyperboloidal Foliations
- Computing the quasinormal modes and eigenfunctions for the Teukolsky equation using horizon penetrating, hyperboloidally compactified coordinates
- A Nonlinear Endpoint of Charged Horizon Instabilities
- Approaching a dynamical extreme black hole horizon