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Instability mechanisms on asymptotically AdS black hole backgrounds

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arxiv 2508.20483 v1 pith:DVBMADAB submitted 2025-08-28 gr-qc math-phmath.MP

Instability mechanisms on asymptotically AdS black hole backgrounds

classification gr-qc math-phmath.MP
keywords mechanismsasymptoticallybackgroundbackgroundsblackboundaryceasescertain
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We investigate dynamics of the conformal scalar equation with defocusing cubic nonlinearity and Robin boundary conditions on the Reissner-Nordstr\"{o}m-anti-de Sitter background. At certain parts of the parameters phase space the zero solution ceases to be stable. We present two mechanisms responsible for this phenomenon.

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