A model displaying extremely inhomogeneous matter distribution in General Relativity
arXiv:hep-th/0304248 · doi:10.1016/j.physa.2004.01.035
Abstract
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.
7 pages, 3 figures
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