Distinguishing Marks of Simply-connected Universes

Details Distinguishing Marks of Simply-connected Universes Distinguishing Marks of Simply-connected Universes

2000-07-18

arxiv.org/abs/gr-qc/0007040v1

Int.J.Mod.Phys. D9 (2000) 561

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 4 figures, LaTeX2e. To appear in Int. J. Mod. Phys. D (2000)

Scientific paper

10.1142/S0218271800000669

A statistical quantity suitable for distinguishing simply-connected Robertson-Walker (RW) universes is introduced, and its explicit expressions for the three possible classes of simply-connected RW universes with an uniform distribution of matter are determined. Graphs of the distinguishing mark for each class of RW universes are presented and analyzed.There sprout from our results an improvement on the procedure to extract the topological signature of multiply-connected RW universes, and a refined understanding of that topological signature of these universes studied in previous works.

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