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.
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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.