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Reconstruction and deceleration–acceleration transitions in modified gravity

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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.

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Authors and Affiliations

  1. Department of Physics, Nagoya University, Nagoya, 464-8602, Japan

    Shin’ichi Nojiri

  2. Instituciò Catalana de Recerca i Estudis Avançats (ICREA), Barcelona, Spain

    Sergei D. Odintsov

  3. Facultat de Ciencies, Institut de Ciencies de l’Espai (IEEC-CSIC), Campus UAB, Torre C5-Par-2a pl, 08193, Bellaterra (Barcelona), Spain

    Sergei D. Odintsov

  4. TSPU, Tomsk, Russia

    Sergei D. Odintsov

  5. Shternberg Astronomical Institute, Moscow State University, Moscow, Russia

    Alexey Toporensky

  6. Joint Institute for Nuclear Research, Dubna, Russia

    Petr Tretyakov

Authors
  1. Shin’ichi Nojiri
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  2. Sergei D. Odintsov
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  3. Alexey Toporensky
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  4. Petr Tretyakov
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Corresponding author

Correspondence to Shin’ichi Nojiri.

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Nojiri, S., Odintsov, S.D., Toporensky, A. et al. Reconstruction and deceleration–acceleration transitions in modified gravity. Gen Relativ Gravit 42, 1997–2008 (2010). https://doi.org/10.1007/s10714-010-0977-5

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  • DOI: https://doi.org/10.1007/s10714-010-0977-5

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