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Scattering map for two black holes

de Moura AP1, Letelier

  • 1Instituto de Fiisca Gleb Wataghin, UNICAMP, 13083-970 Campinas, SP, Brazil.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Light

Area of Science:

  • Astrophysics
  • General Relativity
  • Chaos Theory

Background:

  • Studying light's motion in strong gravitational fields is crucial for understanding black hole physics.
  • The behavior of light near multiple black holes presents complex dynamics.

Purpose of the Study:

  • To analyze the chaotic motion of light rays in the gravitational field of two widely separated Schwarzschild black holes.
  • To characterize the fractal nature of the basin boundary for light orbits.

Main Methods:

  • Approximation of widely separated black holes, treating each gravitational influence separately.
  • Reduction of the dynamics to a two-dimensional map.
  • Numerical and analytical investigation of the map and its properties.

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Main Results:

  • The dynamics exhibit chaotic behavior.
  • A fractal basin boundary separates regions leading to escape or capture by a black hole.
  • In the large separation limit, the boundary resembles a self-similar Cantor set.

Conclusions:

  • The study reveals the complex, chaotic nature of light's trajectory in a binary black hole system.
  • The fractal basin boundary and its scaling properties provide insights into the system's dynamics.