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Tomographic representation of minisuperspace quantum cosmology and noether symmetries

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Abstract

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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Authors and Affiliations

  1. Dipartimento di Scienze Fisiche, Università di Napoli “Federico II”, Naples, Italy

    S. Capozziello, V. I. Man’ko, G. Marmo & C. Stornaiolo

  2. INFN, Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, 80126, Naples, Italy

    S. Capozziello, V. I. Man’ko, G. Marmo & C. Stornaiolo

  3. P.N. Lebedev Physical Institute, Leninskii Pr. 53, 117924, Moscow, Russia

    V. I. Man’ko

Authors
  1. S. Capozziello
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  2. V. I. Man’ko
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  3. G. Marmo
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  4. C. Stornaiolo
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Correspondence to S. Capozziello.

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Capozziello, S., Man’ko, V.I., Marmo, G. et al. Tomographic representation of minisuperspace quantum cosmology and noether symmetries. Gen Relativ Gravit 40, 2627–2647 (2008). https://doi.org/10.1007/s10714-008-0643-3

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  • DOI: https://doi.org/10.1007/s10714-008-0643-3

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