Astronomy and Astrophysics – Astrophysics
Scientific paper
2000-07-11
Class.Quant.Grav. 17 (2000) 3951
Astronomy and Astrophysics
Astrophysics
11 pages, 3 figures, accepted for Classical & Quantum Gravity
Scientific paper
10.1088/0264-9381/17/19/301
It has been suggested that if the Universe satisfies a flat, multiply connected, perturbed Friedmann-Lema^itre model, then cosmic microwave background data from the COBE satellite implies that the minimum size of the injectivity diameter (shortest closed spatial geodesic) must be larger than about two fifths of the horizon diameter. To show that this claim is misleading, a simple $T^2 \times R$ universe model of injectivity diameter a quarter of this size, i.e. a tenth of the horizon diameter, is shown to be consistent with COBE four year observational maps of the cosmic microwave background. This is done using the identified circles principle.
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