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We initiate the study of the spherically symmetric Einstein-Klein-Gordon system in the presence of a negative cosmological constant, a model appearing frequently in the context of high-energy physics.
The Klein-Gordon Equation in Anti-de Sitter Cosmology
Bachelot, A · 1925
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Initial boundary value problems for Einstein’s field equations and geometric uniqueness
Friedrich, H · 1966
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Global aspects of the Cauchy problem in General Relativity
Choquet-Bruhat, Y., and Geroch, R. P · 1969
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Stability in Gauged Extended Supergravity
Breitenlohner, P., and Freedman, D. Z · 1982
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The Problem of a Selfgravitating Scalar Field
Christodoulou, D · 1986
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A mathematical theory of gravitational collapse
Christodoulou, D · 1987
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Einstein equations and conformal structure: existence of anti-de Sitter-type space-times
Friedrich, H · 1995
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The instability of naked singularities in the gravitational collapse of a scalar field
Christodoulou, D · 1999
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Spherically symmetric spacetimes with a trapped surface
Dafermos, M · 2005
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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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The Dirac System on the Anti-de Sitter Universe
Bachelot, A · 2008
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Well-posedness for the massive wave equation on asymptotically anti-de-Sitter spacetimes
Holzegel, G
Breaking an Abelian gauge symmetry near a black hole horizon
Gubser, S. S · 2008
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A Rotating Holographic Superconductor
Sonner, J · 2009
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The wave equation on asymptotically Anti-de Sitter spaces
Vasy, A · 2009
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On the massive wave equation on slowly rotating Kerr-AdS spacetimes
Holzegel, G · 2010
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The global structure of spherically symmetric charged scalar field spacetimes
Kommemi, J · 2011
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Cited in the paper.
Stability of Schwarzschild-AdS for the spherically symmetric Einstein-Klein Gordon system
Holzegel, G., and Smulevici, J
Cited in the paper.