Conformally Invariant Cosmology Based on Riemann-Cartan Spacetime

Details Conformally Invariant Cosmology Based on Riemann-Cartan Spacetime Conformally Invariant Cosmology Based on Riemann-Cartan Spacetime

1994-02-17

arxiv.org/abs/gr-qc/9402033v3

Class.Quant.Grav.11:2455-2482,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Brown preprint BROWN-HET-937, 24 pages, bugs in latex fixed

Scientific paper

10.1088/0264-9381/11/10/007

Conformally invariant GUT-like model including gravity based on Riemann - Cartan space-time $U_4$ is considered. Cosmological scenario that follows from the model is discussed and standard quantum gravitational formalism in the Arnowitt-Deser-Misner form is developed. General formalism is then illustrated on Bianchi-IX minisuperspace cosmological model. Wave functions of the universe in the de Sitter minisuperspace model with Vilenkin and Hartle-Hawking boundary conditions are considered and corresponding probability distributions for the scalar field values are calculated.

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