2006/10/25 by W. G. Hanan, William Hanan, Eugen Radu · 3 citations
Mathematics · Physics and Astronomy · #Artificial intelligence #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Chaotic #Classical mechanics #Cosmology and Gravitation Theories #Dimension (graph theory) #Fractal #Fractal dimension #General relativity #Geodesic #Geodesics in general relativity #Holography #Horizon #Mathematical analysis #Mathematics #Motion (physics) #Noncommutative and Quantum Gravity Theories #Optics #Phase space #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #gr-qc #hep-th
paper · pdf · doi:10.1142/s0217732307022815
published as Mod.Phys.Lett.A22:399-406,2007 · 8 pages, 5 figures
arxiv created 2006/10/25 · openalex publication_date 2007/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.