Hyperboloidal slicing approach to quasinormal mode expansions: The Reissner-Nordström case

Rodrigo Panosso Macedo, José Luis Jaramillo, and Marcus Ansorg
Phys. Rev. D 98, 124005 – Published 11 December 2018

Abstract

We study quasinormal modes of black holes, with a focus on resonant (or quasinormal mode) expansions, in a geometric frame based on the use of conformal compactifications together with hyperboloidal foliations of spacetime. Specifically, this work extends the previous study of Schwarzschild in this geometric approach to spherically symmetric asymptotically flat black-hole spacetimes, in particular Reissner-Nordström. The discussion involves, first, the nontrivial technical developments needed to address the choice of appropriate hyperboloidal slices in the extended setting as well as the generalization of the algorithm determining the coefficients in the expansion of the solution in terms of the quasinormal modes. In a second stage, we discuss how the adopted framework provides a geometric insight into the origin of regularization factors needed in Leaver’s Cauchy-based foliations, as well as into the discussion of quasinormal modes in the extremal black-hole limit.

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  • Received 8 September 2018

DOI:https://doi.org/10.1103/PhysRevD.98.124005

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Rodrigo Panosso Macedo1, José Luis Jaramillo2, and Marcus Ansorg3,*

  • 1School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, United Kingdom
  • 2Institut de Mathématiques de Bourgogne (IMB), UMR 5584, CNRS, Université de Bourgogne Franche-Comté, F-21000 Dijon, France
  • 3Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany

  • *Deceased.

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Issue

Vol. 98, Iss. 12 — 15 December 2018

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