Friedmann limits of rotating hypersurface-homogeneous dust models

Details Friedmann limits of rotating hypersurface-homogeneous dust models Friedmann limits of rotating hypersurface-homogeneous dust models

2001-02-09

arxiv.org/abs/gr-qc/0102040v1

J.Math.Phys. 42 (2001) 3628-3664

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

39 pages, LaTeX, 1 postscript figure. Subjects: General relativity, exact solutions, cosmology

Scientific paper

10.1063/1.1378304

The existence of Friedmann limits is systematically investigated for all the hypersurface-homogeneous rotating dust models, presented in previous papers by this author. Limiting transitions that involve a change of the Bianchi type are included. Except for stationary models that obviously do not allow it, the Friedmann limit expected for a given Bianchi type exists in all cases. Each of the 3 Friedmann models has parents in the rotating class; the k = +1 model has just one parent class, the other two each have several parent classes. The type IX class is the one investigated in 1951 by Goedel. For each model, the consecutive limits of zero rotation, zero tilt, zero shear and spatial isotropy are explicitly calculated.

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