Disappearing cosmological constant in f(R) gravity

By A. Starobinsky. 2007

1,042 citations recorded by the source corpus.

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 a small discrepancy in the values of the slope of the primordial perturbation power spectrum determined from galaxy surveys and CMB fluctuations. On the other hand, a new problem for dark energy models based on f(R) gravity is pointed out, which is connected with the possible overproduction of new massive scalar particles (scalarons) arising in this theory in the very early Universe.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Oceanography

View Paper: https://www.semanticscholar.org/paper/7787d288bfa86ca42753829444f1f78cd04c90e4

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Citations in the corpus

Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics (2016, background): “However, in conventional F(R) gravity, there exists a serious problem during the late-time evolution at the perturbation level, namely, that of dark energy oscillations [395] (see also, e.”
New observational constraints on f(R) gravity from cosmic chronometers (2016, background): “agation. In principle one could try to t all parameters independently, however the existing data (in terms of quantity and precision) cannot lead to a good precision ts. { 5 { 2.The Starobinsky model [71]. This model corresponds to f(R) = R R S " 1 1 + R2 R2 S n # ; (2.20) with (>0) and R ”
ASTROPHYSICAL TESTS OF MODIFIED GRAVITY: CONSTRAINTS FROM DISTANCE INDICATORS IN THE NEARBY UNIVERSE (2012, background): “For f (R) theories (Capozziello et al. 2003; Nojiri & Odintsov 2003; Carroll et al. 2004; Starobinsky 2007; Hu & Sawicki 2007) with background field values (fR0) in the range 10−6–10−7, Chang & Hui (henceforth CH) find that compared to GR, a solar mass red giant has a radius R smaller by over 5%, a…”
The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at z ∼ 1.4 (2015, methodology): “Similar viable f(R) models have been independently proposed by Starobinsky (2007), Appleby & Battye (2007) and Tsujikawa (2008).”
Cosmology and Fundamental Physics with the Euclid Satellite (2012, methodology): “36, with n = 2 and μ = 3 (blue shortdashed curve) together with the model by [1128], Eq.”