Astronomy and Astrophysics – Astrophysics
Scientific paper
1994-10-03
Phys.Rev. D52 (1995) 3406-3415
Astronomy and Astrophysics
Astrophysics
submitted to Physical Review D, 23 pages, Latex
Scientific paper
10.1103/PhysRevD.52.3406
All spacetimes for an irrotational collisionless fluid with a purely electric Weyl tensor, with spacetime curvature determined by the exact Einstein field equations, are shown to be integrable. These solutions include the relativistic generalisations of the Zeldovich solutions of Newtonian theory. Thus our result shows the consistency of various studies of "silent" universes (where such consistency was assumed rather than proved).
Dunsby Peter K. S.
Ellis George F. R.
Lesame William M.
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