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Pseudospectra of Quasinormal Modes and Holography

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arxiv 2407.04372 v2 pith:RXDLV4TX submitted 2024-07-05 hep-th gr-qc

Daniel Arean , David Garcia-Fariña , Karl Landsteiner This is my paper · ORCID
classification hep-thgr-qc
keywords dualityanti-deasymptoticallyblackholesholographicmodespseudospectra
verification ladder T0 review T1 audit T2 compute T3 formal
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The holographic duality (also known as AdS/CFT correspondence or gauge/gravity duality) postulates that strongly coupled quantum field theories can be described in a dual way in asymptotically Anti-de Sitter space. One of the cornerstones of this duality is the description of thermal states as black holes with asymptotically Anti-de Sitter boundary conditions. This idea has led to valuable insights into such fields as transport theory and relativistic hydrodynamics. In this context, the quasinormal modes of such black holes play a decisive role and therefore their stability properties are of upmost interest for the holographic duality. We review recent results using the method of pseudospectra.

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Cited by 3 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. 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.

  3. 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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