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Pseudospectra of Holographic Quasinormal Modes
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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.
Forward citations
Cited by 8 Pith papers
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Quasinormal modes of nonthermal fixed points
Perturbations around nonthermal fixed points obey a quasinormal-mode eigenvalue problem, and for a Fokker-Planck collision kernel the spectrum is a tower of purely imaginary frequencies.
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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.
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Parity violating spectral dynamics of black holes in dynamical Chern-Simons gravity
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Spectrum instability and greybody factor stability for parabolic approximation of Regge-Wheeler potential
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.
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The quasinormal mode spectrum of physically deformed Schwarzschild-like black holes stays unstable, contradicting the expectation that displaced spectra become stable.
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For Boulware-Deser-Wheeler black holes, quasinormal-mode spectra are pseudospectrally unstable, yet time-domain waveforms shift only quadratically under small potential bumps.
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Exceptional line and pseudospectrum in black hole spectroscopy
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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