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We derive precise late-time asymptotics for solutions to the wave equation on spherically symmetric, stationary and asymptotically flat spacetimes including as special cases the Schwarzschild and Reissner-Nordstrom families of black holes.
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Late time tails from momentarily stationary, compact initial data in Schwarzschild spacetimes
Price, R. H., and Burko, L. M · 2004
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The interior of charged black holes and the problem of uniqueness in general relativity
Dafermos, M · 2005
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Decay rates for spherical scalar waves in a Schwarzschild geometry
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Late time tails in the Kerr spacetime
Gleiser, R. J., Price, R. H., and Pullin, J · 2008
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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
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Linear and nonlinear tails II: exact decay rates in spherical symmetry
Szpak, N., Bizoń, P., Chmaj, T., and Rostworowski, A · 2009
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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
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Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds
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On pointwise decay of linear waves on a Schwarzschild black hole background
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Mode coupling mechanism for late-time Kerr tails
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Horizon instability of extremal black holes
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On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant: I. Well posedness and breakdown criterion
Costa, J. L., Girão, P. M., Natário, J., and Silva, J. D · 2015
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On the Global Uniqueness for the Einstein-Maxwell-Scalar Field System with a Cosmological Constant. Part 2: Structure of the Solutions and Stability of the Cauchy Horizon
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Dafermos, M., and Rodnianski, I · 2013
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Boundedness and decay of scalar waves at the Cauchy horizon of the Kerr spacetime
Hintz, P · 2015
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Analysis of linear waves near the Cauchy horizon of cosmological black holes
Hintz, P., and Vasy, A · 2015
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Proof of linear instability of the Reissner-Nordström Cauchy horizon under scalar perturbations
Luk, J., and Oh, S.-J · 2015
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Linear waves in the interior of extremal black holes I
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