The Highly Damped Quasinormal Modes of Extremal Reissner-Nordström and Reissner-Nordström-de Sitter Black Holes

Abstract

We analyze in detail the highly damped quasinormal modes of $D$-dimensional extremal Reissner-Nordstr$\ddot{\mathrm{o}}$m and Reissner-Nordstr$\ddot{\mathrm{o}}$m-de Sitter black holes. We only consider the extremal case where the event horizon and the Cauchy inner horizon coincide. We show that, even though the topology of the Stokes/anti-Stokes lines in the extremal case is different than the non-extremal case, the highly damped quasinormal mode frequencies of extremal black holes match exactly with the extremal limit of the non-extremal black hole quasinormal mode frequencies.

17 pages, 5 figures

References in corpus (5)

• High frequency quasi-normal modes for black-holes with generic singularities
• Quasinormal modes for single horizon black holes in generic 2-d dilaton gravity
• Highly Damped Quasinormal Modes of Generic Single Horizon Black Holes
• Black hole quasinormal modes: hints of quantum gravity?
• The Highly Damped Quasinormal Modes of $d$-dimensional Reissner-Nordstrom Black Holes in the Small Charge Limit

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• Quasinormal Modes of Near-Extremal Black Holes and Black Strings in Massive Gravity Background