Cosmic crystallography in a circle

Details Cosmic crystallography in a circle Cosmic crystallography in a circle

2000-05-15

arxiv.org/abs/gr-qc/0005052v4

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 16 figures, corrected commands for graphics

Scientific paper

In a circle (an S^1) with circumference 1 assume m objects distributed pseudo-randomly. In the universal covering R^1 assume the objects replicated accordingly, and take an interval L>1. In this interval, make the normalized histogram of the pair separations which are not an integer. The theoretical (expected) such histogram is obtained in this report, as well as its difference to a similar histogram for non-replicated objects. The whole study is of interest for the cosmic crystallography.

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