General Relativity and Gravitation

, Volume 42, Issue 8, pp 1997–2008 | Cite as

Reconstruction and deceleration–acceleration transitions in modified gravity

  • Shin’ichi Nojiri
  • Sergei D. Odintsov
  • Alexey Toporensky
  • Petr Tretyakov
Research Article

Abstract

We discuss the cosmological reconstruction in modified Gauss–Bonnet and F(R) gravities. Two alternative representations of the action (with and without auxiliary scalar) are considered. The approximate description of deceleration–acceleration transition cosmologies is reconstructed. It is shown that cosmological solution containing Big Bang and Big Rip singularities may be reconstructed only using the representation with the auxiliary field. The analytical description of the deceleration–acceleration transition cosmology in modified Gauss–Bonnet gravity is demonstrated to be impossible at sufficiently general conditions.

Keywords

Gauss–Bonnet gravity F(R) gravity Cosmological singularity 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Shin’ichi Nojiri
    • 1
  • Sergei D. Odintsov
    • 2
    • 3
    • 4
  • Alexey Toporensky
    • 5
  • Petr Tretyakov
    • 6
  1. 1.Department of PhysicsNagoya UniversityNagoyaJapan
  2. 2.Instituciò Catalana de Recerca i Estudis Avançats (ICREA)BarcelonaSpain
  3. 3.Facultat de CienciesInstitut de Ciencies de l’Espai (IEEC-CSIC)Bellaterra (Barcelona)Spain
  4. 4.TSPUTomskRussia
  5. 5.Shternberg Astronomical InstituteMoscow State UniversityMoscowRussia
  6. 6.Joint Institute for Nuclear ResearchDubnaRussia

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