J Fernando Barbero G et al 2007 Class. Quantum Grav. 24 5945 doi:10.1088/0264-9381/24/23/016
Hamiltonian dynamics of linearly polarized Gowdy models coupled to massless scalar fields
J Fernando Barbero G1, Daniel Gómez Vergel2 and Eduardo J S Villaseñor3,4
Show affiliationsThe 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 
and 
topologies that are not present in the well-studied 
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
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04.20.Fy Canonical formalism, Lagrangians, and variational principles
- MSC
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70S05 Lagrangian formalism and Hamiltonian formalism
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
83C75 Space-time singularities, cosmic censorship, etc.
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
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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
J Fernando Barbero G et al 2007 Class. Quantum Grav. 24 5945
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