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Accurate evolution of orbiting binary black holes.

Peter Diener1, Frank Herrmann, Denis Pollney

  • 1Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA.

Physical Review Letters
|April 12, 2006
PubMed
Summary

Accurate simulations of binary black hole mergers are crucial. Researchers achieved consistent results for black hole trajectories by carefully selecting the gauge, improving the accuracy of gravitational wave simulations.

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Area of Science:

  • Astrophysics
  • Computational Relativity
  • Gravitational Wave Astronomy

Background:

  • Numerical relativity is essential for simulating extreme astrophysical events like binary black hole mergers.
  • Accurate simulations require careful consideration of gauge choices, which influence the evolution of spacetime.

Purpose of the Study:

  • To analyze the final orbit of binary black hole evolutions.
  • To demonstrate consistent and convergent results for black hole trajectories.
  • To investigate the impact of gauge choice on simulation accuracy.

Main Methods:

  • Detailed analysis of binary black hole evolutions.
  • Examination of gauge-dependent discrepancies and convergence limits.
  • Illustration using an initial data set from Brügmann et al. (2004).

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Main Results:

  • Consistent and convergent trajectories for individual black holes were achieved.
  • Gauge choice significantly affects the accuracy of black hole merger simulations.
  • Reconciliation of gauge-dependent discrepancies is possible by analyzing the convergence limit.
  • The duration of the last orbit for the studied data set was estimated at approximately 59M (where M is the total mass).

Conclusions:

  • Careful gauge selection is critical for accurate binary black hole merger simulations.
  • Convergence analysis provides a method to reconcile gauge-dependent errors.
  • The study provides reliable estimates for the final inspiral phase of binary black holes.