A model displaying extremely inhomogeneous matter distribution in General Relativity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, 3 figures

Scientific paper

10.1016/j.physa.2004.01.035

We consider a toy metric in four dimensional space-time defined in terms of a
recursive hierarchical prescription. The matter distribution turns out to be
extremely inhomogeneous. Surprisingly, for very large samples the average mass
density tends (very slowly) to a constant. There is no trace of fractal
dimension left.

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