Conformally Invariant Cosmology Based on Riemann-Cartan Spacetime

Abstract

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.

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

References in corpus (2)

• Linear Potentials and Galactic Rotation Curves
• Gravitational Phase Transitions in Infrared Quantum Gravity

Cited by in corpus (3)

• Scale transformations in metric-affine geometry
• Generalized cosmological constant from gauging Maxwell-conformal algebra
• Electroweak symmetry breaking by gravity