Cosmic crystallography: three multi-purpose functions

Details Cosmic crystallography: three multi-purpose functions Cosmic crystallography: three multi-purpose functions

1999-04-13

arxiv.org/abs/astro-ph/9904180v2

Astronomy and Astrophysics

Astrophysics

6 pages, LaTeX

Scientific paper

A solid sphere is considered, with a uniformly distributed infinity of
points. Two points being pseudorandomly chosen, the analytical probability
density that their separation have a given value is computed, for three types
of the underlying geometry: $E^3, H^3$ and $S^3$. Figures, graphs and
histograms to complement this short note are given.

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