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Pseudospectra of Holographic Quasinormal Modes

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arxiv 2307.08751 v4 pith:I2FVHYRW submitted 2023-07-17 hep-th gr-qc

Daniel Arean , David Garcia-Fariña , Karl Landsteiner This is my paper · ORCID
classification hep-thgr-qc
keywords quasinormalanalysisblackgaugeholesmodesasymptoticallyduality
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Quasinormal modes and frequencies are the eigenvectors and eigenvalues of a non-Hermitian differential operator. They hold crucial significance in the physics of black holes. The analysis of quasinormal modes of black holes in asymptotically Anti-de Sitter geometries plays also a key role in the study of strongly coupled quantum many-body systems via gauge/gravity duality. In contrast to normal Sturm-Liouville operators, the eigenvalues of non-Hermitian (and non-normal) operators generally exhibit instability under small perturbations. This research focuses on the stability analysis of quasinormal frequencies pertaining to asymptotically planar AdS black holes, employing pseudospectrum analysis. Specifically, we concentrate on the pseudospectra of scalar and transverse gauge fields, shedding light on their relevance within the framework of gauge/gravity duality.

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Cited by 4 Pith papers

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

  1. Pseudospectrum and (in)stability of black hole total transmission modes

    gr-qc 2025-12 conditional novelty 6.0 of 10

    Total transmission modes of Tangherlini black holes are generically spectrally unstable, except for a purely imaginary gravitational mode with nearly concentric pseudospectrum; complex TTM families appear already at d=8.

  2. Parity violating spectral dynamics of black holes in dynamical Chern-Simons gravity

    gr-qc 2025-11 conditional novelty 6.0 of 10

    In dynamical Chern-Simons gravity, an environmental potential bump reshapes black hole quasinormal-mode spectra, producing branch reconnections, a delayed overtaking instability, and scalar-mode-dominated ringdown tha...

  3. Spectrum instability and greybody factor stability for parabolic approximation of Regge-Wheeler potential

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Replacing the Regge-Wheeler potential by piecewise parabolas makes quasinormal-mode spectra unstable, with long-lived overtones, while greybody factors stay close to the exact Schwarzschild result.

  4. Exceptional line and pseudospectrum in black hole spectroscopy

    gr-qc 2025-11 conditional novelty 5.0 of 10

    A continuous line of exceptional points exists in the three-parameter space of a Gaussian-bump-perturbed Regge-Wheeler potential, with pseudospectral contour sizes scaling as ε^{1/2} at second-order EPs.

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