Bounce cosmology from F(R) gravity and F(R) bigravity

Kazuharu Bamba, Andrey N. Makarenko, Alexandr N. Myagky, Shin'Ichi Nojiri, Sergei D. Odintsov

Research output: Contribution to journalArticlepeer-review

135 Citations (Scopus)


We reconstruct F(R) gravity models with exponential and power-law forms of the scale factor in which bounce cosmology can be realized. We explore the stability of the reconstructed models with analyzing the perturbations from the background solutions. Furthermore, we study an F(R) gravity model with a sum of exponentials form of the scale factor, where the bounce in the early universe as well as the late-time cosmic acceleration can be realized in a unified manner. As a result, we build a second order polynomial type model in terms of R and show that it could be stable. Moreover, when the scale factor is expressed by an exponential form, we derive F(R) gravity models of a polynomial type in case of the non-zero spatial curvature and that of a generic type in that of the zero spatial curvature. In addition, for an exponential form of the scale factor, an F(R) bigravity model realizing the bouncing behavior is reconstructed. It is found that in both the physical and reference metrics the bouncing phenomenon can occur, although in general the contraction and expansion rates are different each other.

Original languageEnglish
Article number008
JournalJournal of Cosmology and Astroparticle Physics
Issue number1
Publication statusPublished - 1 Jan 2014


  • cosmic singularity
  • dark energy theory

ASJC Scopus subject areas

  • Astronomy and Astrophysics

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