Limits of crystallographic methods for detecting space topology
R. Lehoucq 1,
J.-P. Uzan 2,3 and
J.-P. Luminet 4
Received 29 May 2000 / Accepted 4 July 2000
We investigate to what extent the cosmic crystallographic methods aimed to detect the topology of the universe using catalogues of cosmic objects would be damaged by various observational uncertainties. We find that the topological signature is robust in the case of Euclidean spaces, but is very fragile in the case of compact hyperbolic spaces. Comparing our results to the presently accepted range of values for the curvature parameters, the best hopes for detecting space topology rest on elliptical space models.
Key words: cosmology: theory cosmology: large-scale structure of Universe
Send offprint requests to: R. Lehoucq
This article contains no SIMBAD objects.
© European Southern Observatory (ESO) 2000
Online publication: December 5, 2000