5 papers
Extent of the Immirzi Ambiguity in Quantum General Relativity
Guillermo A. Mena Marugan
The Ashtekar-Barbero formulation of general relativity admits a one-parameter family of canonical transformations that preserves the expressions of the Gauss and diffeomorphism con…
Gauge fixing and the Hamiltonian for cylindrical spacetimes
Guillermo A. Mena Marugan
We introduce a complete gauge fixing for cylindrical spacetimes in vacuo that, in principle, do not contain the axis of symmetry. By cylindrically symmetric we understand spacetime…
Geometric interpretation of Thiemann's generalized Wick transform
Guillermo A. Mena Marugan
In the Ashtekar and geometrodynamic formulations of vacuum general relativity, the Euclidean and Lorentzian sectors can be related by means of the generalized Wick transform discov…
Canonical Quantization of the Gowdy Model
Guillermo A. Mena Marugan
The family of Gowdy universes with the spatial topology of a three-torus is studied both classically and quantum mechanically. Starting with the Ashtekar formulation of Lorentzian…
CANONICAL QUANTIZATION OF CYLINDRICALLY SYMMETRIC MODELS
Guillermo A. Mena Marugan
We carry out the canonical quantization of the Levi-Cività family of static and cylindrical solutions. The reduced phase space of this family of metrics is proved to coincide with…