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We obtain the second-order asymptotics for the radiation field of spherically symmetric solutions to the wave equation on spherically symmetric and asymptotically flat backgrounds including the Schwarzschild and sub-extremal Reissner-Nordstrom families of black holes.
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Gundlach, C., Price, R., and Pullin, J · 1994
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The global initial value problem in general relativity
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Dafermos, M., and Rodnianski, I · 2005
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Decay rates for spherical scalar waves in a Schwarzschild geometry
Kronthaler, J · 2007
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Stability and instability of extreme Reissner–Nordström black hole spacetimes for linear scalar perturbations I
Aretakis, S · 2011
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Stability and instability of extreme Reissner–Nordström black hole spacetimes for linear scalar perturbations II
Aretakis, S · 2011
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A proof of Price’s law on Schwarzschild black hole manifolds for all angular momenta
Donninger, R., Schlag, W., and Soffer, A · 2011
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Dyatlov, S · 2011
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Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds
Aretakis, S · 2012
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Spectroscopy of the Schwarzschild Black Hole at Arbitrary Frequencies
Casals, M., and Ottewill, A · 2012
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On pointwise decay of linear waves on a Schwarzschild black hole background
Donninger, R., Schlag, W., and Soffer, A · 2012
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Gravitational instability of an extreme Kerr black hole
Lucietti, J., and Reall, H. S · 2012
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Price’s law on nonstationary spacetimes
Metcalfe, J., Tataru, D., and Tohaneanu, M · 2012
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Lectures on black holes and linear waves
Dafermos, M., and Rodnianski, I · 2013
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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 · 2013
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What happens at the horizon(s) of an extreme black hole?
Murata, K., Reall, H. S., and Tanahashi, N · 2013
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Schlue, V · 2013
The linear stability of the Schwarzschild solution to gravitational perturbations
Dafermos, M., Holzegel, G., and Rodnianski, I · 2016
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Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case | a | < m |a|<m
Dafermos, M., Rodnianski, I., and Shlapentokh-Rothman, Y · 2016
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Global well-posedness of quasilinear wave equations on asymptotically de Sitter spaces
Hintz, P · 2016
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On the asymptotic behavior of solutions to einstein’s vacuum equations in wave coordinates
Lindblad, H · 2016
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The r p r^{p} -weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications
Moschidis, G · 2016
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Hidden symmetries and decay for the wave equation on the Kerr spacetime
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Horizon instability of extremal black holes
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Late-time asymptotics for the wave equation on spherically symmetric, stationary backgrounds
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