Conformally invariant cosmology based on Riemann-Cartan spacetime

Yuri V Shtanov, Sergei A Yushchenko
1994 Classical and quantum gravity  
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
more » ... e considered and corresponding probability distributions for the scalar field values are calculated.
doi:10.1088/0264-9381/11/10/007 fatcat:metgmahaebcs7ioswc7qqe7e6y