Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to Massless Scalar Fields

Details Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to Massless Scalar Fields Hamiltonian Dynamics of Linearly Polarized Gowdy Models Coupled to Massless Scalar Fields

2007-07-23

arxiv.org/abs/0707.3333v2

Class.Quant.Grav.24:5945-5972,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Final version to appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/24/23/016

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.

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