Chaotic motion in multi-black hole spacetimes and holographic screens

Oct, 2006
8 pages
Published in:
  • Mod.Phys.Lett.A 22 (2007) 399-406
e-Print:

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Abstract: (arXiv)
We investigate the geodesic motion in DD-dimensional Majumdar-Papapetrou multi-black hole spacetimes and find that the qualitative features of the D=4 case are shared by the higher dimensional configurations. The motion of timelike and null particles is chaotic, the phase space being divided into basins of attraction which are separated by a fractal boundary, with a fractal dimension dBd_B. The mapping of the geodesic trajectories on a screen placed in the asymptotic region is also investigated. We find that the fractal properties of the phase space induces a fractal structure on the holographic screen, with a fractal dimension dB1d_B-1.
  • Majumdar-Papapetrou solutions
  • chaotic motion
  • holography
  • black hole: multiple
  • phase space
  • holography
  • chaos
  • higher-dimensional
  • fractal: dimension
  • geodesic