Bounce universe from string-inspired Gauss-Bonnet gravity

Kazuharu Bamba, Andrey N. Makarenko, Alexandr N. Myagky, Sergei D. Odintsov

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We explore cosmology with a bounce in Gauss-Bonnet gravity where the Gauss-Bonnet invariant couples to a dynamical scalar field. In particular, the potential and and Gauss-Bonnet coupling function of the scalar field are reconstructed so that the cosmological bounce can be realized in the case that the scale factor has hyperbolic and exponential forms. Furthermore, we examine the relation between the bounce in the string (Jordan) and Einstein frames by using the conformal transformation between these conformal frames. It is shown that in general, the property of the bounce point in the string frame changes after the frame is moved to the Einstein frame. Moreover, it is found that at the point in the Einstein frame corresponding to the point of the cosmological bounce in the string frame, the second derivative of the scale factor has an extreme value. In addition, it is demonstrated that at the time of the cosmological bounce in the Einstein frame, there is the Gauss-Bonnet coupling function of the scalar field, although it does not exist in the string frame.

Original languageEnglish
Article number001
JournalJournal of Cosmology and Astroparticle Physics
Volume2015
Issue number4
DOIs
Publication statusPublished - 1 Apr 2015

Keywords

  • dark energy theory
  • physics of the early universe

ASJC Scopus subject areas

  • Astronomy and Astrophysics

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