A model displaying extremely inhomogeneous matter distribution in general relativity

Elcio Abdalla and Cecilia B.M.H. Chirenti

Physica A: Statistical Mechanics and its Applications, 2004, vol. 337, issue 1, 117-122

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.

Keywords: Cosmology; Fractals and gravity (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:337:y:2004:i:1:p:117-122

DOI: 10.1016/j.physa.2004.01.035

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