Cosmic crystallography: the hyperbolic isometries

Details Cosmic crystallography: the hyperbolic isometries Cosmic crystallography: the hyperbolic isometries

2000-10-29

arxiv.org/abs/gr-qc/0010107v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 16 figures included

Scientific paper

All orientation preserving isometries of the hyperbolic three-space are
studied, and the probability density of conjugate pair separations for each
isometry is presented. The study is relevant for the cosmic crystallography,
and is the theoretical counterpart of the mean histograms arising from computer
simulations of the isometries.

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