# Disappearing cosmological constant in f(R) gravity

@article{Starobinsky2007DisappearingCC, title={Disappearing cosmological constant in f(R) gravity}, author={Alexei A. Starobinsky}, journal={JETP Letters}, year={2007}, volume={86}, pages={157-163} }

For higher-derivative f(R) gravity, where R is the Ricci scalar, a class of models is proposed, which produce viable cosmology different from the ACDM at recent times and satisfy cosmological, Solar System, and laboratory tests. These models have both flat and de Sitter spacetimes as particular solutions in the absence of matter. Thus, a cosmological constant is zero in a flat spacetime, but appears effectively in a curved one for sufficiently large R. A “smoking gun” for these models would be…

## 914 Citations

### Cosmological evolution in f(R) gravity and a logarithmic model

- Physics
- 2013

In this paper, we revisit the conditions for cosmological viability of f(R) gravity and formulate them in terms of constraints on the potential of the scalaron field f'. When the scalaron is heavy,…

### Modified gravity with disappearing cosmological constant

- PhysicsJournal of High Energy Physics
- 2021

New corrections to General Relativity are considered in the context of modified f(R) gravity, that satisfy cosmological and local gravity constraints. The proposed models behave asymptotically as R −…

### Curing singularities in cosmological evolution of F(R) gravity

- Physics
- 2010

We study F(R) modified gravity models which are capable of driving the accelerating epoch of the Universe at the present time whilst not destroying the standard Big Bang and inflationary cosmology.…

### Delicate f(R) gravity models with a disappearing cosmological constant and observational constraints on the model parameters

- Physics
- 2008

We study the f(R) theory of gravity using the metric approach. In particular we investigate the recently proposed model by Hu and Sawicki; Appleby and Battye; and Starobinsky. In this model, the…

### Cosmology based on f(R) gravity with 𝒪(1) eV sterile neutrino

- Physics
- 2014

We address the cosmological role of an additional 𝒪(1) eV sterile neutrino in modified gravity models. We confront the present cosmological data with predictions of the FLRW cosmological model based…

### ΛCDM without cosmological constant

- PhysicsClassical and Quantum Gravity
- 2021

A type of exponential correction to general relativity gives viable modified gravity model of dark energy. The model behaves as R − 2Λ at large curvature where an effective cosmological constant…

### Cosmological evolution, future singularities, Little Rip and Pseudo-Rip in viable f(R) theories and their scalar–tensor counterpart

- Physics
- 2012

Modified f(R) gravity is one of the most promising candidates for dark energy, and even for the unification of the whole cosmological evolution, including the inflationary phase. Within this class of…

### Aspects of cosmological expansion in F(R) gravity models

- Physics, Mathematics
- 2008

We study cosmological expansion in F(R) gravity using the trace of the field equations. High frequency oscillations in the Ricci scalar, whose amplitude increases as one evolves backward in time,…

### Cosmic acceleration and stars in an asymptotically Ricci flat universe

- PhysicsPhysical Review D
- 2018

We analyze the evolution of a Friedmann-Robertson-Walker spacetime within the framework of $f(R)$ metric gravity using an exponential model. We show that $f(R)$ gravity may lead to a vanishing…

## References

SHOWING 1-10 OF 42 REFERENCES

### Are f(R) dark energy models cosmologically viable?

- PhysicsPhysical review letters
- 2007

It is found that, in all f(R) modified gravity theories where a power of R is dominant at large or small R, the scale factor during the matter phase grows as t(1/2) instead of the standard law t(2/3).

### Large scale structure of f(R) gravity

- Physics
- 2007

We study the evolution of linear cosmological perturbations in f(R) models of accelerated expansion in the physical frame where the gravitational dynamics are fourth order and the matter is minimally…

### Reconstruction of a scalar-tensor theory of gravity in an accelerating universe

- PhysicsPhysical review letters
- 2000

The present acceleration of the Universe strongly indicated by recent observational data can be modeled in the scope of a scalar-tensor theory of gravity by determining the structure of this theory along with the present density of dustlike matter from two observable cosmological functions.

### The Cauchy problem for the R+R2 theories of gravity without torsion

- Mathematics
- 1983

The exterior Cauchy problem is discussed for the fourth‐order theories of gravity derived from the Lagrangian densities L=(−g)1/2 (R+ (1/2)aR2+bRμν Rμν) −κLm. When b≠0, the Cauchy problem can be…

### Chameleon fields: awaiting surprises for tests of gravity in space.

- Physics, GeologyPhysical review letters
- 2004

It is predicted that near-future satellite experiments could measure an effective Newton's constant in space different from that on Earth, as well as violations of the equivalence principle stronger than currently allowed by laboratory experiments.

### Curvature Quintessence

- Physics
- 2002

The issues of quintessence and cosmic acceleration can be discussed in the framework of higher order theories of gravity. We can deﬁne eﬀective pressure and energy density directly connected to the…

### RECONSTRUCTING DARK ENERGY

- Physics
- 2006

This review summarizes recent attempts to reconstruct the expansion history of the universe and to probe the nature of dark energy. Reconstruction methods can be broadly classified into parametric…