A model displaying extremely inhomogeneous matter distribution in General Relativity
classification
✦ hep-th
keywords
distributionextremelyinhomogeneousmatterveryaverageconsiderconstant
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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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