37 citations · 99 across the 7 of their papers we have counts for
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Classical and Quantum Formulations of S1xS2 and S3 Gowdy Models Coupled with Matter
Daniel Gómez Vergel
We explore the features of gravity in its quantum regime in a mathematically rigorous way by carrying out the classical and quantum formulations of some two-Killing symmetry reduct…
Schrodinger quantization of linearly polarized Gowdy and models coupled to massless scalar fields
Daniel Gómez Vergel
In this paper we will construct the Schrodinger representation for the linearly polarized Gowdy and models coupled to massless scalar fields. Here the quantum…
Unitary evolution of free massless fields in de Sitter space-time
Daniel Gómez Vergel, Eduardo J. S. Villaseñor
We consider the quantum dynamics of a massless scalar field in de Sitter space-time. The classical evolution is represented by a canonical transformation on the phase space for the…
Quantum unitary evolution of linearly polarized S^1\times S^2 and S^3 Gowdy models coupled to massless scalar fields
J. Fernando Barbero G., Daniel Gómez Vergel, Eduardo J. S. Villaseñor
The purpose of this paper is to study in detail the problem of defining unitary evolution for linearly polarized S^1 x S^2 and S^3 Gowdy models (in vacuum or coupled to massless sc…
Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to Massless Scalar Fields
J. Fernando Barbero G., Daniel Gómez Vergel, Eduardo J. S. Villaseñor
The purpose of this paper is to analyze in detail the Hamiltonian formulation for the compact Gowdy models coupled to massless scalar fields as a necessary first step towards their…
Evolution Operators for Linearly Polarized Two-Killing Cosmological Models
J. Fernando Barbero G., Daniel Gómez Vergel, Eduardo J. S. Villaseñor
We give a general procedure to obtain non perturbative evolution operators in closed form for quantized linearly polarized two Killing vector reductions of general relativity with…