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Quasinormal modes of near-extremal Reissner-Nordström-de Sitter spacetimes

Peter Hintz

2/4/25 Published in : arXiv:2504.01734

We study quasinormal modes (QNMs) for the Klein-Gordon equation on Reissner-Nordström-de Sitter black holes with near-extremal charge. We locate all QNMs of size \mathcal{O}(\kappa_{\rm C}) where \kappa_{\rm C} is the surface gravity of the Cauchy horizon (which vanishes at extremality): they are well-approximated by \kappa_{\rm C} times QNMs of the near-horizon geometry {\rm AdS}^2\times{\mathbb S}^2 of the extremal limit.

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Phase I & II research project(s)

  • Field Theory
  • Geometry, Topology and Physics

Phase III direction(s)

  • Differential equations of Mathematical Physics
  • From Field Theory to Geometry and Topology

The excenters of bicentric polygons are concyclic

The firewall paradox is Wigner's friend paradox

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The National Centres of Competence in Research (NCCRs) are a funding scheme of the Swiss National Science Foundation

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