Chaotic motion in multi-black hole spacetimes and holographic screens

Details Chaotic motion in multi-black hole spacetimes and holographic screens Chaotic motion in multi-black hole spacetimes and holographic screens

2006-10-25

arxiv.org/abs/gr-qc/0610119v1

Mod.Phys.Lett.A22:399-406,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 5 figures

Scientific paper

10.1142/S0217732307022815

We investigate the geodesic motion in $D-$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 $d_B$. 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 $d_B-1$.

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