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Hubble operator in isotropic loop quantum cosmology

Golam Mortuza Hossain
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Abstract

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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Golam Mortuza Hossain. 2003-12-11. Hubble operator in isotropic loop quantum cosmology. https://doi.org/10.1088/0264-9381%2F21%2F1%2F012

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