Determining the shape of the universe using discrete sources

@article{Gomero2003DeterminingTS,
  title={Determining the shape of the universe using discrete sources},
  author={G. I. Gomero},
  journal={Classical and Quantum Gravity},
  year={2003},
  volume={20},
  pages={4775-4784}
}
  • G. I. Gomero
  • Published 6 May 2003
  • Physics
  • Classical and Quantum Gravity
Suppose we have identified three clusters of galaxies as being topological copies of the same object. How does this information constrain the possible models for the shape of our universe? It is shown here that, if our universe has flat spatial sections, these multiple images can be accommodated within any of the six classes of compact orientable three-dimensional flat space forms. Moreover, the discovery of two more triples of multiple images in the neighbourhood of the first one would allow… 
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References

SHOWING 1-10 OF 49 REFERENCES
CAN WE SEE THE SHAPE OF OUR UNIVERSE
We address three relevant questions related to the search for the size and shape of our Universe: (i) How do the actual observation of multiple images of certain cosmic objects, e.g. galaxy clusters,
Is the Universe infinite or is it just really big
The global geometry of the universe is in principle as observable an attribute as local curvature. Previous studies have established that if the universe is wrapped into a flat hypertorus, the
Topological lensing in spherical spaces
This paper gives the construction and complete classification of all three-dimensional spherical manifolds and orders them by decreasing volume, in the context of multi-connected universe models with
Clusters of Galaxies as Standard Candles for Global Observational Cosmology
As the largest gravitationally collapsed objects, and as objects with a relatively low space density, clusters of galaxies offer one of the best sets of standard candles for trying to measure basic
Can COBE see the shape of the universe
In recent years, the large angle COBE-DMR data have been used to place constraints on the size and shape of certain topologically compact models of the universe. Here we show that this approach does
COBE and global topology: an example of the application of the identified circles principle
The significance to which the cosmic microwave background (CMB) observations by the satellite COBE can be used to refute a specific observationally based hypothesis for the global topology
Detectability of cosmic topology in almost flat universes
Recent observations suggest that the ratio of the total density to the critical density of the universe, 0, is likely to be very close to one, with a significant proportion of this energy being in
Exploring Topology of the Universe in the Cosmic Microwave Background
We study the effect of global topology of the spatial geometry on the cosmic microwave background (CMB) for closed flat and closed hyperbolic models in which the spatial hypersurface is multiply
Topological Lensing: Is the Matter Both Here and There?
If the Universe satisfies a perturbed Friedmann-Lema\^{\i}tre model, then the bright matter (e.g. radio-loud active galactic nuclei, RLAGNs) may be topologically lensed by global geometry. The
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