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Journal Article

Matter in inhomogeneous loop quantum cosmology: the Gowdy T(3) model


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

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Martin-Benito, M., Blas, D.-M.-d., & Marugán, G. A. M. (2011). Matter in inhomogeneous loop quantum cosmology: the Gowdy T(3) model. Physical Review D., 83(8): 084050. doi:10.1103/PhysRevD.83.084050.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-D43C-4
We apply a hybrid approach which combines loop and Fock quantizations to fully quantize the linearly polarized Gowdy $T^3$ model in the presence of a massless scalar field with the same symmetries as the metric. Like in the absence of matter content, the application of loop techniques leads to a quantum resolution of the classical cosmological singularity. Most importantly, thanks to the inclusion of matter, the homogeneous sector of the model contains flat Friedmann-Robertson-Walker (FRW) solutions, which are not allowed in vacuo. Therefore, this model provides a simple setting to study at the quantum level interesting physical phenomena such as the effect of the anisotropies and inhomogeneities on flat FRW cosmologies.