English

A new approach to modified-gravity models

Cosmology and Nongalactic Astrophysics 2011-11-07 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory

Abstract

We investigate f(R)-gravity models performing the ADM-slicing of standard General Relativity. We extract the static, spherically-symmetric vacuum solutions in the general case, which correspond to either Schwarzschild de-Sitter or Schwarzschild anti-de-Sitter ones. Additionally, we study the cosmological evolution of a homogeneous and isotropic universe, which is governed by an algebraic and not a differential equation. We show that the universe admits solutions corresponding to acceleration at late cosmological epochs, without the need of fine-tuning the model-parameters or the initial conditions.

Keywords

Cite

@article{arxiv.0908.0293,
  title  = {A new approach to modified-gravity models},
  author = {Sayan K. Chakrabarti and Emmanuel N. Saridakis and Anjan A. Sen},
  journal= {arXiv preprint arXiv:0908.0293},
  year   = {2011}
}

Comments

8 pages, 3 figures, version published in Gen.Rel.Grav

R2 v1 2026-06-21T13:31:57.411Z