Hamiltonian dynamics of linearly polarized Gowdy models

doi:10.1088/0264-9381/24/23/016

Hamiltonian dynamics of linearly polarized Gowdy models coupled to massless scalar fields

J Fernando Barbero G et al 2007 Class. Quantum Grav. 24 5945-5972 doi: 10.1088/0264-9381/24/23/016

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J Fernando Barbero G¹, Daniel Gómez Vergel² and Eduardo J S Villaseñor^3,4
¹ Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain
² Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain
³ Grupo de Modelización y Simulación Numérica, Universidad Carlos III de Madrid, Avda de la Universidad 30, 28911 Leganés, Spain
⁴ Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain
E-mail: fbarbero@iem.cfmac.csic.es, dgvergel@iem.cfmac.csic.es and ejsanche@math.uc3m.es

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 toward their quantization. We will pay special attention to the coupling of matter and those features that arise for the ${\bb S}^1\times{\bb S}^2$ and ${\bb S}^3$ topologies that are not present in the well-studied ${\bb T}^3$ 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.

PACS numbers: 04.20.Fy, 04.60.Kz

Print publication: Issue 23 (7 December 2007)
Received 23 July 2007, in final form 17 October 2007
Published 21 November 2007

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Hamiltonian dynamics of linearly polarized Gowdy models coupled to massless scalar fields

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