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In previous work of the author it was shown that instabilities of solutions to the wave equation develop asymptotically along the event horizon of extremal Kerr provided a certain expression H of the initial data is non-trivial on the horizon.
Stability of a Schwarzschild singularity
Regge, T., and Wheeler, J · 1957
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Gravitational collapse with charge and small asymmetries I: Scalar perturbations
Bičák, J · 1972
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Note on the stability of the Schwarzschild metric
Wald, R. M · 1979
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Linear stability of Schwarzschild under perturbations which are nonvanishing on the bifurcation 2-sphere
Kay, B., and Wald, R · 1987
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Semiclassical decay of near-extremal black holes
Jacobson, T · 1998
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Phase space analysis on some black hole manifolds
Blue, P., and Soffer, A · 2009
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The redshift effect and radiation decay on black hole spacetimes
Dafermos, M., and Rodnianski, I · 2009
Earlier work this paper cites.
Aretakis, S · 2010
Cited alongside, same era.
The danger of extremes
Marolf, D · 2010
Cited alongside, same era.
Stability and instability of extreme Reissner–Nordström black hole spacetimes for linear scalar perturbations I
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.
Horizon instability of extremal black holes
Aretakis, S · 2012
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The wave equation on the extreme Reissner–Nordström black hole
Dain, S., and Dotti, 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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A remark about the wave equations on the extreme Reissner–Nordström black hole exterior
Bizon, P., and Friedrich, H · 2013
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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.
Instability of higher dimensional extreme black holes
Murata, K · 2013
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