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Hyperboloidal slicing approach to quasi-normal mode expansions: the Reissner-Nordstr\"om case

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arxiv 1809.02837 v1 pith:BZE5POKF submitted 2018-09-08 gr-qc

Rodrigo Panosso Macedo , José Luis Jaramillo , Marcus Ansorg This is my paper · ORCID
classification gr-qc
keywords quasi-normalblackgeometrichyperboloidalmodesapproachdiscussionexpansions
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We study quasi-normal modes of black holes, with a focus on resonant (or quasi-normal 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-Nordstr\"om. The discussion involves, first, the non-trivial 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 quasi-normal 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 quasi-normal modes in the extremal black hole limit.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Black Hole Tomography: Unveiling Black Hole Ringdown via Gravitational Wave Observations

    gr-qc 2025-01 conditional novelty 7.0 of 10

    Infalling and outgoing gravitational radiation around a perturbed Schwarzschild horizon share the same quasi-normal mode spectrum, with an explicit transfer formula between the horizon and null infinity.

  2. Time-domain framework for the Teukolsky equation with a particle source using comoving hyperboloidal coordinates

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    A time-domain numerical framework for the Teukolsky equation with particle sources in comoving compactified hyperboloidal coordinates that avoids nonphysical growing modes.

  3. The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework

    gr-qc 2024-12 conditional novelty 6.0 of 10

    For Boulware-Deser-Wheeler black holes, quasinormal-mode spectra are pseudospectrally unstable, yet time-domain waveforms shift only quadratically under small potential bumps.

  4. Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh's approach

    gr-qc 2024-12 conditional novelty 6.0 of 10

    A Keldysh spectral expansion built on dual pairings reproduces black hole quasinormal-mode time series, including Schwarzschild power-law tails, and supplies H^p pseudospectral and transient-growth tools.

  5. The quasinormal modes of the rotating quantum corrected black holes

    gr-qc 2025-10 unverdicted novelty 4.0 of 10

    The work calculates scalar quasinormal mode spectra for a rotating quantum-corrected black hole and constructs a methodological pipeline to infer the quantum correction parameter from gravitational-wave ringdown data ...

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