Anti-Newtonian universes do not exist

Details Anti-Newtonian universes do not exist Anti-Newtonian universes do not exist

2006-01-31

arxiv.org/abs/gr-qc/0601142v1

Class.Quant.Grav.23:2727-2740,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages

Scientific paper

10.1063/1.2218261

In a paper by Maartens, Lesame and Ellis (Class. Quant. Grav. 15, 1005) it was shown that irrotational dust solutions with vanishing electric part of the Weyl tensor are subject to severe integrability conditions and it was conjectured that the only such solutions are FLRW spacetimes. In their analysis the possibility of a cosmological constant Lambda was omitted. The conjecture is proved, irrespective as to whether Lambda is zero or not, and qualitative differences with the case of vanishing magnetic Weyl curvature are pointed out.

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