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Theoretical determination of the thinning factor in relativistic hierarchical cosmology

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Abstract

Recent computer simulations by Haggerty (1974) and Haggerty and Janin (1974) on the gravitational clumping of bodies into clusters and superclusters in Newtonian cosmology have given an approximate value of Θ=1.9 for the thinning factor (defined for two systems of sizesR 1,R 2 and densitiesϱ 1,ϱ 2 byϱ 1/ϱ 2 = (R 2/R 1)θ), close to the observed value of Θ=1.7. To get an almost exact value of Θ in a general relativistic hierarchy, algebraic conditions on the metric tensor are employed: the result is Θ=2, with the hierarchy characterized by a dimensionless constantη 1 (≋Gϱb 2/c2) of valueη 1 ⋍ 2 x 10-7 (ϱ=density,b=characteristic dimension, of any system at any level of the hierarchy). A condition on the rotation of systems is also found for objects of sufficiently high angular momentum.

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  1. St. John's College, and Institute of Astronomy, Cambridge University, England

    Paul S. Wesson

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  1. Paul S. Wesson
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Wesson, P.S. Theoretical determination of the thinning factor in relativistic hierarchical cosmology. Astrophys Space Sci 37, 101–114 (1975). https://doi.org/10.1007/BF00646065

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