Astronomy and Astrophysics – Astrophysics
Scientific paper
1999-03-10
Astron.Astrophys.351:766,1999
Astronomy and Astrophysics
Astrophysics
10 pages, 10 figures, latex, minor changes in response to referee, accepted for publication in Astron. Astrophys
Scientific paper
Multi-connected universe models with space identification scales smaller than the size of the observable universe produce topological images of cosmic sources. We generalise to locally hyperbolic spaces the crystallographic method, aimed to detect the topology from three-dimensional catalogs of cosmological objects. Our new method is based on the construction of a {\it collecting-correlated-pair} technique which enhances the topological signature and can make it detectable. The main idea is that in multi-connected universes, equal distances occur more often than by chance. We present an idealised version of this method as well as numerical simulations, we discuss the statistical relevance of the expected signature and we show how the extraction of a topological signal may also lead to a precise determination of the cosmological parameters. A more realistic version of the method which takes account of uncertainties in the position and velocity data is then discussed. We apply our technique to presently available data, namely a quasar catalog, and discuss the significance of the result. We show how the improved crystallographic method both competes with the two--dimensional methods based on cosmic microwave background analyses, and suffers from the same drawback: the shortage of present observational data.
Lehoucq Roland
Luminet Jean-Pierre
Uzan Jean-Philippe
No associations
LandOfFree
A New Crystallographic Method for Detecting Space Topology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A New Crystallographic Method for Detecting Space Topology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New Crystallographic Method for Detecting Space Topology will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-389078