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Quantum Gowdy model within the new loop quantum cosmology improved dynamics

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons4949

Martin-Benito,  M.
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Volltexte (frei zugänglich)

1012.3713
(Preprint), 99KB

JoP_CS_314_1_012047.pdf
(beliebiger Volltext), 403KB

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Zitation

Martin-Benito, M., Garay, L. J., & Mena Marugan, G. A. (2011). Quantum Gowdy model within the new loop quantum cosmology improved dynamics. Journal of Physics: Conference Series, 314: 012047.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-110D-D
Zusammenfassung
The linearly polarized Gowdy $T^3$ model can be regarded as compact Bianchi I cosmologies with inhomogeneous modes allowed to travel in one direction. We study a hybrid quantization of this model that combines the loop quantization of the Bianchi I background, adopting the improved dynamics scheme put forward by Ashtekar and Wilson-Ewing, with a Fock quantization for the inhomogeneities. The Hamiltonian constraint operator provides a resolution of the cosmological singularity and superselects separable sectors. We analyze the complicated structure of these sectors. In any of them the Hamiltonian constraint provides an evolution equation with respect to the volume of the associated Bianchi I universe, with a well posed initial value problem. This fact allows us to construct the Hilbert space of physical states and to show that we recover the standard quantum field theory for the inhomogeneities.