Hubble operator in isotropic loop quantum cosmology

Details Hubble operator in isotropic loop quantum cosmology Hubble operator in isotropic loop quantum cosmology

2003-08-06

arxiv.org/abs/gr-qc/0308014v2

Class.Quant.Grav. 21 (2004) 179-196

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 3 eps figures, few comments and clarifications added to match with the published version

Scientific paper

10.1088/0264-9381/21/1/012

We present a construction of the Hubble operator for the spatially flat isotropic loop quantum cosmology. This operator is a Dirac observable on a subspace of the space of physical solutions. This subspace gets selected dynamically, requiring that its action be invariant on the physical solution space. As a simple illustrative application of the expectation value of the operator, we do find a generic phase of (super)inflation, a feature shown by Bojowald from the analysis of effective Friedmann equation of loop quantum cosmology.

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