Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints

By S. Tsujikawa. 2007

386 citations recorded by the source corpus.

We discuss observational consequences of f(R) dark energy scenarios that satisfy local gravity constraints (LGC) as well as conditions of the cosmological viability. The model we study is given by m(r)=C(-r-1){sup p} (C>0, p>1) with m=Rf{sub ,RR}/f{sub ,R} and r=-Rf{sub ,R}/f, which covers viable f(R) models proposed so far in a high-curvature region designed to be compatible with LGC. The equation of state of dark energy exhibits a divergence at a redshift z{sub c} that can be as close as a few while satisfying sound horizon constraints of the cosmic microwave background (CMB). We study the evolution of matter density perturbations in detail and place constraints on model parameters from the difference of spectral indices of power spectra between CMB and galaxy clustering. The models with p{>=}5 can be consistent with those observational constraints as well as LGC. We also discuss the evolution of perturbations in the Ricci scalar R and show that an oscillating mode (scalaron) can easily dominate over a matter-induced mode as we go back to the past. This violates the stability of cosmological solutions, thus posing a problem about how the overproduction of scalarons should be avoided in the early universe.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b80e2c9fa3c467f270711c33245b9bdf9c6c5420

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Citations in the corpus

Stellar structure models in modified theories of gravity: Lessons and challenges (2019, background): “which is well motivated in cosmological models of dark energy [242], and where m2, c1, c2 and n are free parameters.”
f(R) Theories Of Gravity (2008, background): “…phase space analyses are only possible for specific choices of the function f(R) (Abdelwahab et al., 2008; Amendola et al., 2007a,b,c; Amendola and Tsujikawa, 2008; Carloni et al., 2008a; Carloni and Dunsby, 2007; Carloni et al., 2005, 2007; Carroll et al., 2005; Clifton, 2006a, 2007; Clifton and…”
Curing singularities in cosmological evolution of F(R) gravity (2009, background): “2) is from the paper [43] (a model with a similar behaviour was also introduced later in [45]).”
On the Evolution of the Hubble Constant with the SNe Ia Pantheon Sample and Baryon Acoustic Oscillations: A Feasibility Study for GRB-Cosmology in 2030 (2022, methodology): “the Hu-Sawicki [303], the Starobinsky [304], and Tsujikawa models [305,306], successfully describe the Dark Energy component (say an effective parameter for the Dark Energy w = w(z) < −1/3) and overcome all local constraints.”
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).”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, methodology): “In this approximation we can directly neglect the time derivatives of the scalar degree of freedom δπ, which facilitates the computation significantly [220, 221, 222].”