منابع مشابه
Cosmic crystallography in a circle
In a circle (an S 1) with circumference 1 assume m objects distributed pseudo-randomly. In the univeral covering manifold R 1 assume the objects replicated accordingly , and take an interval L > 1. In this interval, make the normalized his-togram 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...
متن کاملCosmic Crystallography: the Hyperbolic Isometries
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 isome-tries.
متن کامل0 Cosmic crystallography in a circle
In a circle (an S 1) with circumference 1 assume m objects distributed pseudo-randomly. In the univeral covering manifold R 1 assume the objects replicated accordingly , and take an interval L > 1. In this interval, make the normalized his-togram 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...
متن کاملCosmic Crystallography in Compact Hyperbolic Universes
We try to apply the cosmic crystallography method of Lehoucq, Lachieze-Rey, and Luminet to a universe model with closed spatial section of negative curvature. But the sharp peaks predicted for Einstein-de Sitter closed models do not appear in our hyperbolic example. So we turn to a variant of that method, by subtracting from the distribution of distances between images in the closed model, the ...
متن کاملCosmic Crystallography of the Second Order
The cosmic crystallography method of Lehoucq et al. [1] produces sharp peaks in the distribution of distances between the images of cosmic sources. But the method cannot be applied to universes with compact spatial sections of negative curvature. We apply to the these a second order crystallographic effect, as evidenced by statistical parameters. PACS number: 98.80.Jk
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ژورنال
عنوان ژورنال: International Journal of Modern Physics D
سال: 2002
ISSN: 0218-2718,1793-6594
DOI: 10.1142/s0218271802002074