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Black Hole Spectroscopy by Mode Cleaning.

Sizheng Ma1, Ling Sun2, Yanbei Chen1

  • 1TAPIR 350-17, California Institute of Technology, 1200 E California Boulevard, Pasadena, California 91125, USA.

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|April 21, 2023
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Summary
This summary is machine-generated.

We developed a Bayesian framework using "rational filters" to analyze gravitational waves from black hole mergers. This method effectively isolates black hole oscillation modes, aiding in testing the no-hair theorem and estimating remnant black hole properties.

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Area of Science:

  • Astrophysics
  • Gravitational Wave Astronomy
  • Black Hole Physics

Background:

  • Gravitational waves from binary black hole mergers contain information about the final black hole's properties.
  • Testing the black hole no-hair theorem requires precise analysis of these gravitational wave signals, particularly the ringdown phase.

Purpose of the Study:

  • To develop a Bayesian framework for analyzing black hole ringdown gravitational waves.
  • To test the black hole no-hair theorem by analyzing oscillation modes.
  • To efficiently estimate the mass and spin of remnant black holes.

Main Methods:

  • Formulation of a Bayesian framework incorporating "rational filters" for mode cleaning.
  • Development of a likelihood function dependent only on remnant black hole mass and spin.
  • Implementation of an efficient pipeline for parameter estimation without Markov Chain Monte Carlo (MCMC).
  • Hybrid approach combining mode cleaning with MCMC for single-mode analysis.

Main Results:

  • Demonstrated effective isolation of subdominant oscillation modes by removing dominant ones.
  • Successfully constrained remnant black hole mass and spin without dependence on mode amplitudes and phases.
  • Used model evidence and Bayes factor to identify specific modes and their starting times.
  • Applied the framework to GW150914, providing stronger evidence for the first overtone mode.

Conclusions:

  • The developed Bayesian framework offers a powerful tool for black hole spectroscopy.
  • This method enhances the analysis of future gravitational wave events.
  • Provides a more definitive way to test fundamental black hole physics.