Matter in inhomogeneous loop quantum cosmology: the Gowdy $T^3$ model

Details Matter in inhomogeneous loop quantum cosmology: the Gowdy $T^3$ model Matter in inhomogeneous loop quantum cosmology: the Gowdy $T^3$ model

2010-12-10

arxiv.org/abs/1012.2324v1

Phys.Rev.D83:084050,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, submitted to PRD

Scientific paper

10.1103/PhysRevD.83.084050

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.

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