Horizon Instability of Extremal Black Holes

@article{Aretakis2012HorizonIO,
  title={Horizon Instability of Extremal Black Holes},
  author={S. Aretakis},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2012}
}
  • S. Aretakis
  • Published 2012
  • Physics, Mathematics
  • arXiv: General Relativity and Quantum Cosmology
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… Expand
123 Citations
A note on instabilities of extremal black holes under scalar perturbations from afar
  • 41
  • PDF
Horizon Hair of Extremal Black Holes and Measurements at Null Infinity.
  • 11
  • PDF
Nonlinear instability of scalar fields on extremal black holes
  • 29
  • PDF
Linear Waves in the Interior of Extremal Black Holes I
  • 33
  • PDF
Symmetries at the black hole horizon
  • 12
  • PDF
Extremal Kerr Black Holes
Nonlinear scalar perturbations of extremal Reissner-Nordstr\"{o}m spacetimes.
  • 2
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 32 REFERENCES
A note on instabilities of extremal black holes under scalar perturbations from afar
  • 41
  • PDF
Instability of higher dimensional extreme black holes
  • 26
  • PDF
Nonlinear instability of scalar fields on extremal black holes
  • 29
  • PDF
The Wave Equation on Extreme Reissner-Nordstr\"om Black Hole Spacetimes: Stability and Instability Results
  • 19
  • PDF
Gravitational instability of an extreme Kerr black hole
  • 83
  • PDF
Decay of Axisymmetric Solutions of the Wave Equation on Extreme Kerr Backgrounds
  • 84
  • PDF
On the horizon instability of an extreme Reissner-Nordström black hole
  • 81
  • PDF
The black hole stability problem for linear scalar perturbations
  • 77
A remark about wave equations on the extreme Reissner-Nordström black hole exterior
  • 44
  • PDF
...
1
2
3
4
...