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Exponentially-growing Mode Instability on Reissner-Nordström--Anti-de-Sitter black holes
We construct growing mode solutions to the uncharged and charged Klein-Gordon equations on the sub-extremal Reissner-Nordström--anti-de-Sitter (AdS) spacetime under reflecting (Dirichlet or Neumann) boundary conditions. Our result applies to a range of Klein-Gordon masses above the so-called Breiten
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