Hamiltonian dynamics and Noether symmetries in Extended Gravity Cosmology

  • S. Capozziello
  • M. De Laurentis
  • S. D. Odintsov
Review

DOI: 10.1140/epjc/s10052-012-2068-0

Cite this article as:
Capozziello, S., De Laurentis, M. & Odintsov, S.D. Eur. Phys. J. C (2012) 72: 2068. doi:10.1140/epjc/s10052-012-2068-0

Abstract

We discuss the Hamiltonian dynamics for cosmologies coming from Extended Theories of Gravity. In particular, minisuperspace models are taken into account searching for Noether symmetries. The existence of conserved quantities gives selection rule to recover classical behavior in cosmic evolution according to the so-called Hartle criterion, which allows one to select correlated regions in the configuration space of dynamical variables. We show that such a statement works for general classes of Extended Theories of Gravity and is conformally preserved. Furthermore, the presence of Noether symmetries allows a straightforward classification of singularities that represent the points where the symmetry is broken. Examples for non-minimally coupled and higher-order models are discussed.

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2012

Authors and Affiliations

  • S. Capozziello
    • 1
    • 2
  • M. De Laurentis
    • 1
    • 2
  • S. D. Odintsov
    • 3
  1. 1.Dipartimento di Scienze FisicheUniversità di Napoli “Federico II”NapoliItaly
  2. 2.INFN sez. di Napoli, Compl. Univ. di Monte S. AngeloNapoliItaly
  3. 3.Istitucio Catalana de Recerca i Estudis Avancats (ICREA) and Consejo Superior de Investigaciones Cientificas, ICE/CSIC and Institut de Ciencies de l Espai (IEEC-CSIC), Campus UAB, Facultat de CienciesBellaterraSpain

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