Dust reference frame in quantum cosmology

Details Dust reference frame in quantum cosmology Dust reference frame in quantum cosmology

2011-08-04

arxiv.org/abs/1108.1147v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, iopart style + BibTex

Scientific paper

We give a formulation of quantum cosmology with a pressureless dust and arbitrary additional matter fields. The system has the property that its Hamiltonian constraint is linear in the dust momentum. This feature provides a natural time gauge, leading to a physical hamiltonian that is not a square root. Quantization leads to Schr{\"o}dinger equation for which unitary evolution is directly linked to geodesic completeness. Our approach simplifies the analysis of both Wheeler-deWitt and loop quantum cosmology (LQC) models, and significantly broadens the applicability of the latter. This is demonstrated for arbitrary scalar field potential and cosmological constant in LQC.

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