Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries

Details Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries

2007-06-20

arxiv.org/abs/0706.3018v3

Gen.Rel.Grav.40:2627-2647,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages

Scientific paper

10.1007/s10714-008-0643-3

The probability representation, in which cosmological quantum states are described by a standard positive probability distribution, is constructed for minisuperspace models selected by Noether symmetries. In such a case, the tomographic probability distribution provides the classical evolution for the models and can be considered an approach to select "observable" universes. Some specific examples, derived from Extended Theories of Gravity, are worked out. We discuss also how to connect tomograms, symmetries and cosmological parameters.

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