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Maximum kick from nonspinning black-hole binary inspiral.

José A González1, Ulrich Sperhake, Bernd Brügmann

  • 1Theoretical Physics Institute, University of Jena, 07743 Jena, Germany.

Physical Review Letters
|March 16, 2007
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Summary

The merger of unequal-mass black holes generates a "kick" due to asymmetric gravitational radiation. This study quantifies black hole kick velocities and final spins for various mass ratios.

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Area of Science:

  • Astrophysics
  • Gravitational Waves
  • Black Hole Physics

Background:

  • Binary black hole mergers emit gravitational waves, leading to asymmetric linear momentum loss.
  • This momentum loss imparts a "kick" velocity to the final merged black hole.
  • The magnitude of this kick has significant astrophysical implications, influencing black hole populations and galaxy evolution.

Purpose of the Study:

  • To conduct the most extensive parameter study to date on black hole merger kicks using numerical relativity.
  • To accurately calculate the kick velocity and final spin of black holes resulting from unequal-mass binary mergers.
  • To explore the relationship between mass ratio and kick magnitude in nonspinning binary black hole systems.

Main Methods:

  • Numerical relativity simulations of binary black hole inspirals.
  • Study of nonspinning binaries with mass ratios (q) ranging from 1 to 0.25.
  • Accurate calculation of kick velocities (within 6%) and final spins (within 2%).

Main Results:

  • A maximum kick velocity of 175.2 ± 11 km/s was observed for a mass ratio corresponding to eta = 0.195 ± 0.005.
  • Kick velocities and final spins were accurately determined across a range of mass ratios.
  • The study provides precise data on the impact of mass asymmetry on merger dynamics.

Conclusions:

  • The study confirms and quantifies the significant astrophysical consequences of black hole merger kicks.
  • Precise calculations of kick velocities are crucial for understanding black hole populations and their distribution.
  • This research advances our understanding of gravitational wave emission and black hole dynamics in unequal-mass mergers.