Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..37..101w&link_type=abstract
Astrophysics and Space Science, vol. 37, Oct. 1975, p. 101-114.
Astronomy and Astrophysics
Astrophysics
1
Computerized Simulation, Cosmology, Density Measurement, Relativistic Theory, Angular Momentum, Clumps, Dimensionless Numbers, Hierarchies, Mach Inertia Principle, Metric Space, Rotating Matter, Tensor Analysis
Scientific paper
A theoretical, almost exact value of the thinning factor is derived for two nested systems in a general-relativistic cosmological hierarchy. Basic relationships between the sizes, densities, and rotations of a cluster of galaxies and the supercluster in which it is embedded are obtained by matching the metric for the interior of the larger body to that for the exterior of the smaller body. Conditions are established for the self-consistency of the analysis, including a condition regarding the rotation of systems for objects of sufficiently high angular momentum. The results yield a thinning factor of 2 as well as two dimensionless constants that characterize the hierarchy. Limits of applicability in the present analysis are discussed.
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