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Pseudospectrum of rotating analog black holes
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Analyzing the stability of quasinormal modes (QNM) is essential for understanding black hole dynamics, particularly in the context of gravitational wave emissions and black hole spectroscopy. In this study, we employ the hyperboloidal approach to reformulate the quasinormal mode problem of a rotating analog black hole, effectively transforming it into an eigenvalue problem associated with a nonself-adjoint operator. Using this method, we examine the influence of rotation on the stability of the QNM spectrum, relying on the associated pseudospectrum for qualitative assessment. Our findings indicate that the prograde overtones become more stable as rotation increases. This work enhances our understanding of spectrum stability in rotating systems and expands the study of pseudospectra in non-spherically symmetric spacetimes, with potential for empirical testing in terrestrial laboratories.
Forward citations
Cited by 4 Pith papers
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Pseudospectrum and (in)stability of black hole total transmission modes
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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Regge poles of analogous rotating black holes in binary Bose-Einstein condensates: The gapped excitations
A localized mass shell in a draining bathtub condensate bifurcates the Regge pole spectrum, destabilizes counter-rotating poles more than co-rotating ones, and imprints the effect on scattering angles.
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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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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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