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From Black Hole Spectral Instability to Stable Observables.

Théo Torres1

  • 1Aix Marseille Université, CNRS, Centrale Marseille, LMA UMR 7031, Marseille, France.

Physical Review Letters
|September 29, 2023
PubMed
Summary

Black hole quasinormal modes exhibit spectral instability. This study reveals Regge poles are also unstable, yet a hidden structure protects observable scattering quantities from this instability.

Area of Science:

  • Theoretical physics
  • Black hole physics
  • Gravitational wave astronomy

Background:

  • Black hole quasinormal modes (QNMs) are sensitive to potential perturbations, impacting observable time signals.
  • Observing these subtle signals and probing QNM instability presents significant experimental challenges.

Purpose of the Study:

  • Investigate the spectral instability of black hole properties using time-independent data.
  • Explore the behavior of Regge poles (RPs) as counterparts to QNM in the complex angular momentum plane.

Main Methods:

  • Analysis of spectral instability in time-independent data.
  • Study of Regge poles (RPs) in the complex angular momentum plane.
  • Examination of scattering quantities under spectral perturbations.

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Main Results:

  • Evidence of spectral instability in the Regge pole (RP) spectrum.
  • Identification that not all overtones are equally affected by the instability.
  • Discovery of an underlying structure that stabilizes scattering quantities despite RP spectrum perturbations.

Conclusions:

  • A novel approach to black hole spectral instability phenomena is proposed.
  • A surprising mechanism protects scattering quantities from instability, offering new avenues for research.
  • The complex angular momentum approach provides stable scattering quantities even with spectral instability.