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We briefly review the evidence that anti-de Sitter spacetime is nonlinearly unstable, and the perturbative arguments that there should exist geons - nonsingular solutions to Einstein's equation with a helical symmetry.
T. Regge and J. A. Wheeler, Stability of a Schwarzschild singularity
1957
Earlier work this paper cites.
L. Edelstein and C. Vishveshwara, Differential equations for perturbations on the schwarzschild metric
1970
Earlier work this paper cites.
C. Vishveshwara, Stability of the schwarzschild metric
1970
Earlier work this paper cites.
F. J. Zerilli, Effective potential for even parity Regge-Wheeler gravitational perturbation equations
1970
Earlier work this paper cites.
F. Zerilli, Gravitational field of a particle falling in a schwarzschild geometry analyzed in tensor harmonics
1970
Earlier work this paper cites.
J. L. Friedman, Generic instability of rotating relativistic stars
1978
Earlier work this paper cites.
C. Fefferman and C. Graham, “Conformal invariants..” Élie Cartan et les mathématiques d’aujourd’hui, The mathematical heritage of Élie Cartan, Sémin. Lyon 1984, Astérisque, No.Hors Sér. 1985, 95-116, 1985
1985
Earlier work this paper cites.
H. Friedrich, On the existence of n-geodesically complete or future complete solutions of EinsteinÕs field equations with smooth asymptotic structure
1986
Earlier work this paper cites.
D. Christodoulou, The formation of black holes and singularities in spherically symmetric gravitational collapse
1991
Earlier work this paper cites.
D. Sudarsky and R. M. Wald, Extrema of mass, stationarity, and staticity, and solutions to the Einstein Yang-Mills equations
1992
Cited alongside, same era.
D. Christodoulou and S. Klainerman, The Global nonlinear stability of the Minkowski space
1993
Cited alongside, same era.
M. W. Choptuik, Universality and scaling in gravitational collapse of a massless scalar field
1993
Cited alongside, same era.
H. Friedrich, Einstein equations and conformal structure - Existence of anti de Sitter type space-times
1995
Cited alongside, same era.
V. Balasubramanian and P. Kraus, A Stress tensor for Anti-de Sitter gravity
1999
Cited alongside, same era.
S. de Haro, S. N. Solodukhin, and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence
2011
Later among the works it cites.
O. J. Dias, G. T. Horowitz, and J. E. Santos, Black holes with only one Killing field
2011
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
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2001
Cited alongside, same era.
A. Ishibashi and R. M. Wald, Dynamics in nonglobally hyperbolic static space-times. 3. Anti-de Sitter space-time
2004
Cited alongside, same era.
2010
Cited alongside, same era.
P. Bizon and A. Rostworowski, On weakly turbulent instability of anti-de Sitter space
2011
Cited alongside, same era.
Cited in the paper.
H. Okawa, V. Cardoso, and P. Pani, “On the nonlinear instability of confined geometries.” In preparation
Cited in the paper.
Cited in the paper.
2013
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
G. Holzegel and J. Smulevici, Decay properties of Klein-Gordon fields on Kerr-AdS spacetimes
2013
Later among the works it cites.
M. Maliborski and A. Rostworowski, What drives AdS unstable?
2014
Closest in time.