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We show that axisymmetric extremal horizons are unstable under linear scalar perturbations.
Stability of a Schwarzschild singularity
Regge, T., and Wheeler, J · 1957
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Champs gravitationnels stationnaires à symmétrie axialle
Papapetrou, A · 1966
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Solutions of the Einstein–Maxwell equations with many black holes
J. B. Hartle, and S. W. Hawking · 1972
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Three remarks on axisymmetric stationary horizons
Hájíc̆ek, P · 1974
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The formation of black holes and singularities in spherically symmetric gravitational collapse
Christodoulou, D · 1991
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Black Hole Uniqueness Theorems
Heusler, M · 1996
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Extremal isolated horizons: A local uniqueness theorem
Lewandowski, J., and Pawlowski, T · 2003
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On non-existence of static vacuum black holes with degenerate components of the event horizon
Chruściel, P., Reall, H., and Tod, P · 2006
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The classification of static electro-vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior
Chruściel, P., and Tod, K · 2007
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The formation of black holes in general relativity
Christodoulou, D · 2009
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The redshift effect and radiation decay on black hole spacetimes
Dafermos, M., and Rodnianski, I · 2009
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A classification of near-horizon geometries of extremal vacuum black holes
Kunduri, H., and Lucietti, J · 2009
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Aretakis, S · 2010
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Linear waves on higher dimensional Schwarzschild black holes
Schlue, V · 2010
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Stability and instability of extreme Reissner–Nordström black hole spacetimes for linear scalar perturbations I
A note on instabilities of extremal black holes from afar
Aretakis, S · 2012
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Decay and boundedness of solutions of the wave equation on subextremal Kerr–Newman exterior spacetimes
Civin, D · 2012
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Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes
Holzegel, G · 2012
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On the horizon instability of an extreme Reissner–Nordström black hole
Lucietti, J., Murata, K., Reall, H. S., and Tanahashi, N · 2012
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Gravitational instability of an extreme kerr black hole
Lucietti, J., and Reall, H · 2012
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Aretakis, S · 2011
Cited alongside, same era.
Stability and instability of extreme Reissner–Nordström black hole spacetimes for linear scalar perturbations II
Aretakis, S · 2011
Cited alongside, same era.
The black hole stability problem for linear scalar perturbations
Dafermos, M., and Rodnianski, I · 2011
Cited alongside, same era.
Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds
Aretakis, S · 2012
Cited alongside, same era.
Lectures on black holes and linear waves
Dafermos, M., and Rodnianski, I
Cited in the paper.
Decay properties of Klein–Gordon fields on Kerr–AdS spacetimes
Holzegel, G., and Smulevici, J
Cited in the paper.
Murata, K · 2012
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On a non-linear instability of extremal black holes
Aretakis, S · 2013
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A remark about the wave equations on the extreme Reissner–Nordström black hole exterior
Bizon, P., and Friedrich, H · 2013
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