Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to Massless Scalar Fields
General Relativity and Quantum Cosmology
2008-11-26 v2
Abstract
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 quantization. We will pay special attention to the coupling of matter and those features that arise for the three-handle and three-sphere topologies that are not present in the well studied three torus case -in particular the polar constraints that come from the regularity conditions on the metric. As a byproduct of our analysis we will get an alternative understanding, within the Hamiltonian framework, of the appearance of initial and final singularities for these models.
Cite
@article{arxiv.0707.3333,
title = {Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to Massless Scalar Fields},
author = {J. Fernando Barbero G. and Daniel Gómez Vergel and Eduardo J. S. Villaseñor},
journal= {arXiv preprint arXiv:0707.3333},
year = {2008}
}
Comments
Final version to appear in Classical and Quantum Gravity