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Analytical Black-Hole Binary Merger Waveforms.

Sean T McWilliams1

  • 1Department of Physics and Astronomy, West Virginia University, Morgantown, West Virginia 26506, USA and Center for Gravitational Waves and Cosmology, West Virginia University, Chestnut Ridge Research Building, Morgantown, West Virginia 26505, USA.

Physical Review Letters
|May 31, 2019
PubMed
Summary
This summary is machine-generated.

We developed a new analytical model for black-hole binary mergers. This model accurately predicts gravitational waves during inspiral, merger, and ringdown, matching numerical relativity results.

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Area of Science:

  • Astrophysics
  • General Relativity
  • Gravitational Wave Astronomy

Background:

  • Black-hole binaries are key sources of gravitational waves.
  • Accurate modeling of their late-stage evolution (inspiral, merger, ringdown) is crucial for gravitational wave astronomy.
  • Current models often rely on numerical relativity, which is computationally intensive.

Purpose of the Study:

  • To develop a highly accurate, fully analytical model for the late inspiral, merger, and ringdown of black-hole binaries.
  • To include gravitational radiation, arbitrary mass ratios, and spin vectors.
  • To reduce reliance on numerical relativity for these phases.

Main Methods:

  • Developed a model based on the physical understanding of late-stage binary evolution.
  • Assumed nonlinear effects remain small throughout coalescence.
  • Leveraged the tendency of spacetime to behave as a linear perturbation of the remnant spacetime.

Main Results:

  • The analytical model shows high accuracy, agreeing with numerical relativity results within uncertainties.
  • The model covers arbitrary mass ratios and spin vectors.
  • Accuracy extends back to the innermost stable circular orbit for much of the parameter space.

Conclusions:

  • The presented analytical model offers a computationally efficient and accurate alternative for studying black-hole binary mergers.
  • It significantly improves the modeling of gravitational waves from the late inspiral, merger, and ringdown phases.
  • This work advances gravitational wave astronomy by providing a robust tool for data analysis and theoretical studies.