Horizon Instability of Extremal Black Holes
By S. Aretakis. 2012
190 citations recorded by the source corpus.
We show that axisymmetric extremal horizons are unstable under linear scalar perturbations. Specifically, we show that translation invariant derivatives of generic solutions to the wave equation do not decay along such horizons as advanced time tends to infinity, and in fact, higher order derivatives blow up. This result holds in particular for extremal Kerr-Newman and Majumdar-Papapetrou spacetimes and is in stark contrast with the subextremal case for which decay is known for all derivatives along the event horizon.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/9f6bec9e4be17d1f92121bab33ccd703c8f93664
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- The linear stability of the Schwarzschild solution to gravitational perturbations (2016, background): “1 holds replacing (1) χ̂ on the left by A[3] (1) χ̂ and replacing the right hand side by ∥∥ / ∇23 ( r(3) / div / D⋆2 / div (1) χ̂ ) ∥∥ L(2)(Cv0) + F / ∇ 0 [ (1) Ψ,D (1) ψ,D (1) α].”
- The interior of dynamical vacuum black holes I: The $C^0$-stability of the Kerr Cauchy horizon (2017, background): “See [3, 48, 49] and the discussion in our survey [34].”
- Low-dimensional de Sitter quantum gravity (2019, unknown): “[25]).”