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Exceptional point and hysteresis in perturbations of Kerr black holes

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arxiv 2407.20850 v3 pith:FOKENACH submitted 2024-07-30 gr-qc astro-ph.HEhep-th

João Paulo Cavalcante , Maurício Richartz , Bruno Carneiro da Cunha This is my paper · ORCID
classification gr-qcastro-ph.HEhep-th
keywords blackpointaroundexceptionalfirstgenericholeskerr
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abstract

We employ the isomonodromic method to study linear scalar massive perturbations of Kerr black holes for generic scalar masses $M\mu$ and generic black hole spins $a/M$. We find that the longest-living quasinormal mode and the first overtone coincide for $(M\mu)_c \simeq 0.3704981$ and $(a/M)_c\simeq 0.9994660$. We also show that the longest-living mode and the first overtone change continuously into each other as we vary the parameters around the point of degeneracy, providing evidence for the existence of a geometric phase around an exceptional point. We interpret our findings through a thermodynamic analogy.

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Cited by 6 Pith papers

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

  1. Exceptional Lines and Excitation of (Nearly) Double-Pole Quasinormal Modes: A Semi-Analytic Study in the Nariai Black Hole

    gr-qc 2026-01 conditional novelty 6.0 of 10

    In the near-Nariai limit of rotating de Sitter black holes, massive scalar perturbations have a continuous curve of exceptional points where prograde and retrograde quasinormal modes merge, and the resulting double-po...

  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. Ergodic Hysteresis of the Kerr black hole spectrum

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Near-extremal Kerr black holes with massive scalar fields exhibit a cascade of exceptional points that can adiabatically permute arbitrary quasinormal-mode overtones.

  4. Probing the Unstable Spectrum of Schwarzschild-like Black Holes

    gr-qc 2025-01 conditional novelty 6.0 of 10

    The quasinormal mode spectrum of physically deformed Schwarzschild-like black holes stays unstable, contradicting the expectation that displaced spectra become stable.

  5. Exceptional lines in the Kerr-Newman black hole spectrum

    gr-qc 2026-07 accept novelty 5.5 of 10

    Near-extremal Kerr-Newman black holes host exceptional lines of degenerate (ℓ,m)=(1,1) scalar overtones that induce spectral permutations and link to zero-damping/damped mode branching.

  6. 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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