A toy model of hyperboloidal approach to quasinormal modes

Abstract

We consider a scalar field propagating in the static region of the two dimensional de Sitter space. This simple system is used to illustrate the advantages of hyperboloidal foliations in the analysis of quasinormal modes.

7 pages, 1 figure

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• Spherically symmetric black hole spacetimes on hyperboloidal slices
• Non-modal effects in black hole perturbation theory: Transient Superradiance
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• Quasinormal modes of Reissner-Nordström-AdS: the approach to extremality
• Transients in black hole perturbation theory
• QNM orthogonality relations for AdS black holes
• Pseudospectrum of Reissner-Nordström black holes: quasinormal mode instability and universality