pith. sign in

arxiv: 0712.4017 · v2 · submitted 2007-12-24 · ✦ hep-th · astro-ph· gr-qc

Class of viable modified f(R) gravities describing inflation and the onset of accelerated expansion

G. Cognola , E. Elizalde , S. Nojiri , S.D. Odintsov , L. Sebastiani , S. Zerbini This is my paper
classification ✦ hep-th astro-phgr-qc
keywords modelsmodifiedgravitiesviableacceleratedclassexpansioninflation
0
0 comments X
read the original abstract

A general approach to viable modified $f(R)$ gravity is developed in both the Jordan and the Einstein frames. A class of exponential, realistic modified gravities is introduced and investigated with care. Special focus is made on step-class models, most promising from the phenomenological viewpoint and which provide a natural way to classify all viable modified gravities. One- and two-steps models are explicitly considered, but the analysis is extensible to $N$-step models. Both inflation in the early universe and the onset of recent accelerated expansion arise in these models in a natural, unified way. Moreover, it is demonstrated that models in this category easily pass all local tests, including stability of spherical body solution, non-violation of Newton's law, and generation of a very heavy positive mass for the additional scalar degree of freedom.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Unveiling $f(R)$ Gravity with Void-Galaxy Cross-Correlation Multipoles

    astro-ph.CO 2026-05 unverdicted novelty 6.0

    Void-galaxy cross-correlation multipoles exhibit amplified size-dependent deviations from LCDM in f(R) gravity due to the scalaron fifth force and nonlinear shell dynamics, providing a new probe for modified gravity.

  2. Unveiling $f(R)$ Gravity with Void-Galaxy Cross-Correlation Multipoles

    astro-ph.CO 2026-05 unverdicted novelty 6.0

    Semi-analytical calculation of void-galaxy cross-correlation multipoles in Hu-Sawicki f(R) gravity reveals size-dependent deviations from LambdaCDM up to 29.7 percent for small voids, amplified by nonlinear evolution ...

  3. Off-diagonal solutions in Einsteingravity modeling f(R) gravity and dynamical darkenergy vs Lambda CDM cosmology

    physics.gen-ph 2026-03 unverdicted novelty 3.0

    Off-diagonal Einstein solutions constructed via the anholonomic frame and connection deformation method can mimic f(R) gravity and dynamical dark energy effects inside GR and Lambda CDM cosmology.

  4. Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

    gr-qc 2017-05 accept novelty 2.0

    Modified gravity theories supply viable mathematical frameworks for inflation, bounces, and dark energy eras that match observational data.