Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...291..450f&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 291, April 15, 1985, p. 450-459. Research supported by the Financiadora de
Astronomy and Astrophysics
Astrophysics
18
Cosmology, Galactic Clusters, Quasars, Red Shift, Topology, Hyperbolic Coordinates, Tesseral Harmonics
Scientific paper
This paper discusses the hypothesis that a quasar-galaxy association with discordant redshifts may be the multiple image of a single source, produced by rays emitted along paths of different lengths. This is allowed by the multiply-connected topologies of Friedmann's closed models of negative spatial curvature. In this first part of a two-paper sequence the author deals with the problem in the relatively simple context of a hyperbolic two-dimensional space. This physically unrealistic case is used for deriving some qualitative observational consequences and for elucidating the mathematical method, which applies the tesselations of hyperbolic spaces. A fully three-dimensional treatment will be given in a following paper.
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