Small initial data for a quasilinear cubic wave equation on Schwarzschild-AdS leads to inflation of higher Sobolev norms via forward energy transfer for generic mass parameters.
Linear Stability of Schwarzschild-Anti-de Sitter spacetimes I: The system of gravitational perturbations
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Constructs bifurcating families of asymptotically AdS hairy black holes from RN-AdS, providing a counterexample to no-hair and rigorous holographic superconductors.
Exponentially growing modes exist for uncharged and charged Klein-Gordon fields on sub-extremal RN-AdS spacetimes above the Breitenlohner-Freedman bound, including conformal mass, via a near-extremal instability independent of superradiance.
citing papers explorer
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Weakly turbulent dynamics on Schwarzschild-AdS black hole spacetimes
Small initial data for a quasilinear cubic wave equation on Schwarzschild-AdS leads to inflation of higher Sobolev norms via forward energy transfer for generic mass parameters.
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Asymptotically Anti-de Sitter Spherically Symmetric Hairy Black Holes
Constructs bifurcating families of asymptotically AdS hairy black holes from RN-AdS, providing a counterexample to no-hair and rigorous holographic superconductors.
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Exponentially-growing Mode Instability on Reissner-Nordstr\"om--Anti-de-Sitter black holes
Exponentially growing modes exist for uncharged and charged Klein-Gordon fields on sub-extremal RN-AdS spacetimes above the Breitenlohner-Freedman bound, including conformal mass, via a near-extremal instability independent of superradiance.