Journal
MODERN PHYSICS LETTERS A
Volume 22, Issue 6, Pages 399-406Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217732307022815
Keywords
Majumdar-Papapetrou solutions; chaotic motion; holography
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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 dB. 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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