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

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.

Final version to appear in Classical and Quantum Gravity

References in corpus (4)

• Quantum Gowdy $T^3$ model: A uniqueness result
• Quantum Gowdy $T^3$ model: A unitary description
• Evolution Operators for Linearly Polarized Two-Killing Cosmological Models
• Schrodinger representation for the polarized Gowdy model

Cited by in corpus (9)

• Matter in inhomogeneous loop quantum cosmology: the Gowdy $T^3$ model
• The time-dependent quantum harmonic oscillator revisited: Applications to Quantum Field Theory
• Hybrid Models in Loop Quantum Cosmology
• Quantum unitary evolution of linearly polarized S^1\times S^2 and S^3 Gowdy models coupled to massless scalar fields
• Uniqueness of the Fock representation of the Gowdy $S^1\times S^2$ and $S^3$ models
• A Brief Overview of Results about Uniqueness of the Quantization in Cosmology
• Unitary evolution of free massless fields in de Sitter space-time
• Schrodinger quantization of linearly polarized Gowdy $S^1\times S^2$ and $S^3$ models coupled to massless scalar fields
• Inflation from inhomogeneous polarized Gowdy model