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Loop quantization of the Gowdy model with local rotational symmetry

Daniel Martín de Blas*

Javier Olmedo†

Tomasz Pawłowski‡

  • Instituto de Física, Pontificia Universidad Católica de Chile, Avenida Vicuña Mackenna 4860, Santiago, Chile and Instituto de Estructura de la Materia, IEM-CSIC, Serrano 121, 28006 Madrid, Spain

  • Instituto de Física, Facultad de Ciencias, Iguá 4225, esq. Mataojo, 11400 Montevideo, Uruguay; Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA and Institute for Gravitation and the Cosmos and Physics Department, The Pennsylvania State University, University Park, Pennsylvania 16802, USA

  • Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warsaw, Poland and Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, Pasteura 5, 02-093 Warszawa, Poland, EU

  • *damartind@uc.cl
  • †jao44@psu.edu
  • ‡tpawlow@fuw.edu.pl
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Phys. Rev. D 96, 106016 – Published 28 November, 2017

DOI: https://doi.org/10.1103/PhysRevD.96.106016

Abstract

We provide a full quantization of the vacuum Gowdy model with local rotational symmetry. We consider a redefinition of the constraints where the Hamiltonian Poisson-commutes with itself. We then apply the canonical quantization program of loop quantum gravity within an improved dynamics scheme. We identify the exact solutions of the constraints and the physical observables, and we construct the physical Hilbert space. It is remarkable that quantum spacetimes are free of singularities. New quantum observables naturally arising in the treatment partially codify the discretization of the geometry. The preliminary analysis of the asymptotic future/past of the evolution indicates that the existing Abelianization technique needs further refinement.

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Phys. Rev. D 96, 106016– Published 28 November, 2017
  • Received 6 October 2015
Article part of CHORUS

© 2017 American Physical Society

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