On Cosmological Isotropy, Quantum Cosmology and the Weyl Curvature Hypothesis

Details On Cosmological Isotropy, Quantum Cosmology and the Weyl Curvature Hypothesis On Cosmological Isotropy, Quantum Cosmology and the Weyl Curvature Hypothesis

1992-12-10

arxiv.org/abs/gr-qc/9212006v1

Class.Quant.Grav.10:L7-L11,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages

Scientific paper

10.1088/0264-9381/10/1/002

The increasing entropy, large-scale isotropy and approximate flatness of the universe are considered in the context of signature change, which is a classical model of quantum tunnelling in quantum cosmology. The signature change hypothesis implies an initial inflationary epoch, the magnetic half of the Weyl curvature hypothesis, and a close analogue of the conformal singularity hypothesis. Adding the electric half of the Weyl curvature hypothesis yields, for a perfect fluid, only homogeneous and isotropic cosmologies. In the cosmological-constant case, the unique solution is the Vilenkin tunnelling solution, which gives a de Sitter cosmology.

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