Canonical transformation for stiff matter models in quantum cosmology

Details Canonical transformation for stiff matter models in quantum cosmology Canonical transformation for stiff matter models in quantum cosmology

2010-10-22

arxiv.org/abs/1010.4677v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex4 Class, 3 pages, No Figures

Scientific paper

In the present work we consider Friedmann-Robertson-Walker models in the presence of a stiff matter perfect fluid and a cosmological constant. We write the superhamiltonian of these models using the Schutz's variational formalism. We notice that the resulting superhamiltonians have terms that will lead to factor ordering ambiguities when they are written as operators. In order to remove these ambiguities, we introduce appropriate coordinate transformations and prove that these transformations are canonical using the symplectic method.

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