English

Reconstruction and deceleration-acceleration transitions in modified gravity

High Energy Physics - Theory 2014-11-20 v3 Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology

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

Cite

@article{arxiv.0912.2488,
  title  = {Reconstruction and deceleration-acceleration transitions in modified gravity},
  author = {Shin'ichi Nojiri and Sergei D. Odintsov and Alexey Toporensky and Petr Tretyakov},
  journal= {arXiv preprint arXiv:0912.2488},
  year   = {2014}
}

Comments

LaTeX 8 pages, published version.

R2 v1 2026-06-21T14:23:13.319Z