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We construct quasimodes for the Klein-Gordon equation on the black hole exterior of Kerr-Anti-de Sitter (Kerr-AdS) spacetimes.
Quasinormal modes for AdS–Schwarzschild black holes: exponential convergence to the real axis
Gannot, O · 1907
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Solutions of the wave equation with localized energy
Ralston, J. V · 1969
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Einstein equations and conformal structure: existence of anti-de Sitter-type space-times
Friedrich, H · 1995
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Décroissance de l’énergie locale de l’équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel
Burq, N · 1998
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From quasimodes to resonances
Tang, S.-H., and Zworski, M · 1998
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Charged and rotating AdS black holes and their CFT duals
Hawking, S. W., and Reall, H. S · 2000
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Dynamics in non-globally hyperbolic static spacetimes. III: anti-de Sitter spacetime
Ishibashi, A., and Wald, R. M · 2004
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A proof of Price’s law for the collapse of a self- gravitating scalar field
Dafermos, M., and Rodnianski, I · 2005
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On the uniqueness and global dynamics of AdS spacetimes
Anderson, M. T · 2006
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The Black Hole Stability problem
Dafermos, M · 2006
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Dynamic instability of solitons in 4 + 1-dimensional gravity with negative cosmological constant
Dafermos, M., and Holzegel, G · 2006
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The Dirac System on the Anti-de Sitter Universe
Bachelot, A · 2008
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Decay and non-decay of the local energy for the wave equation in the De Sitter-Schwarzschild metric
Bony, J.-F. and Häfner, D · 2008
Cited alongside, same era.
Lectures on black holes and linear waves
Dafermos, M., and Rodnianski, I · 2008
Cited alongside, same era.
The red-shift effect and radiation decay on black hole spacetimes
Dafermos, M., and Rodnianski, I · 2009
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A Bohr-Sommerfeld quantization formula for quasinormal frequencies of AdS black holes
Festuccia, G., and Liu, H · 2009
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The black hole stability problem for linear scalar perturbations
Dafermos, M., and Rodnianski, I · 2010
Cited alongside, same era.
Decay properties of Klein-Gordon fields on Kerr-AdS spacetimes
Holzegel, G., and Smulevici, J · 2011
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Local energy estimate on Kerr black hole backgrounds
Tataru, D., and Tohaneanu, M · 2011
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Decay of Axisymmetric Solutions of the Wave Equation on Extreme Kerr Backgrounds
Aretakis, S · 2012
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Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes
Dyatlov, S · 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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Fournais, S., and Helffer, B · 2010
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On the massive wave equation on slowly rotating Kerr-AdS spacetimes
Holzegel, G · 2010
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Strichartz Estimates on Schwarzschild Black Hole Backgrounds
J. Marzuola, J. Metcalfe, D. Tataru, M. Tohaneanu · 2010
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The Klein-Gordon Equation in Anti-de Sitter Cosmology
Bachelot, A · 2011
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On weakly turbulent instability of anti-de Sitter space
Bizon, P., and Rostworowski, A · 2011
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Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole
Dyatlov, S · 2011
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Hidden symmetries and decay for the wave equation on the Kerr spacetime
Andersson, L., and Blue, P
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Self-gravitating Klein-Gordon fields in asymptotically Anti-de-Sitter spacetimes
Holzegel, G., and Smulevici, J · 2012
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Waves, modes and quasimodes on Asymptotically Anti-de Sitter Spacetimes
Holzegel, G., and Smulevici, J · 2012
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On the nonlinear stability of asymptotically anti-de sitter solutions
O.J.C. Dias, G.T. Horowitz, D. Marolf, J.E. Santos · 2012
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The wave equation on asymptotically Anti-de Sitter spaces
Vasy, A · 2012
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The massive wave equation in asymptotically AdS spacetimes
Warnick, C · 2012
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Stability of Schwarzschild-AdS for the spherically symmetric Einstein-Klein-Gordon system
Holzegel, G., and Smulevici, J · 2013
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