Conformally Invariant Cosmology Based on Riemann-Cartan Spacetime
Yuri V. Shtanov, Sergei A. Yushchenko
Abstract
Conformally invariant GUT-like model including gravity based on Riemann - Cartan space-time U4 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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