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Chaos in the relativistic Euler problem.

Kai Meng Hock1

  • 1Blk 43 Tanglin Halt Road, musical sharp 10-239, 0314 Singapore.

Chaos (Woodbury, N.Y.)
|December 1, 1996
PubMed
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This study shows that particle scattering by two black holes is highly chaotic, a finding relevant to general relativity and astrophysics. Numerical simulations reveal distinct signs of chaos in particle trajectories.

Area of Science:

  • Astrophysics
  • General Relativity
  • Computational Physics

Background:

  • The classical Euler problem involves three bodies, with two fixed and one moving mass.
  • General relativity effects on particle dynamics around massive objects are crucial for understanding gravitational interactions.
  • Previous studies may not have fully explored the chaotic nature of scattering in such systems.

Purpose of the Study:

  • To reconsider the Euler problem within the framework of general relativity.
  • To investigate the scattering dynamics of a particle interacting with two fixed black holes.
  • To identify and analyze signs of chaotic behavior in particle trajectories.

Main Methods:

  • Numerical computation of particle trajectories.
  • Utilizing a modified muffin tin approximation for calculations.

Related Experiment Videos

  • Analysis of scattering angle versus impact parameter plots.

    • Main Results:

    • The scattering of a particle by two neutral, fixed black holes exhibits strong chaotic behavior.
    • Distinct signs of chaos were observed in the computed particle trajectories.
    • The relationship between scattering angle and impact parameter clearly indicates chaotic dynamics.

    Conclusions:

    • The Euler problem, when extended by general relativity and involving two black holes, demonstrates significant chaotic scattering.
    • Numerical simulations provide evidence for the chaotic nature of particle interactions in this astrophysical scenario.
    • The findings contribute to the understanding of complex gravitational dynamics and chaos theory.