Parameterized Beyond-Einstein Growth

By Eric Linder, Robert Cahn. 2007

352 citations recorded by the source corpus.

A single parameter, the gravitational growth index gamma, succeeds in characterizing the growth of density perturbations in the linear regime separately from the effects of the cosmic expansion. The parameter is restricted to a very narrow range for models of dark energy obeying the laws of general relativity but can take on distinctly different values in models of beyond-Einstein gravity. Motivated by the parameterized post-Newtonian (PPN) formalism for testing gravity, we analytically derive and extend the gravitational growth index, or Minimal Modified Gravity, approach to parameterizing beyond-Einstein cosmology. The analytic formalism demonstrates how to apply the growth index parameter to early dark energy, time-varying gravity, DGP braneworld gravity, and some scalar-tensor gravity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/99780f34fb2f9ecd303f4a95cfd8d01b74ab7fe7

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Citations in the corpus

The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: measurement of the growth rate of structure from the anisotropic correlation function between redshift 0.8 and 2.2 (2018, background): “The exponent γ depends weakly on the energy content of the universe and is predicted to be γ GR 0.55 (Linder & Cahn 2007).”
SEVEN-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE (WMAP) OBSERVATIONS: COSMOLOGICAL INTERPRETATION (2010, background): “…one may distinguish between dark energy and modified gravity (Ishak et al. 2006; Koyama & Maartens 2006; Amarzguioui et al. 2006; Doré et al. 2007; Linder & Cahn 2007; Upadhye 2007; Zhang et al. 2007; Yamamoto et al. 2007; Chiba & Takahashi 2007; Bean et al. 2007; Hu & Sawicki 2007; Song et al.…”
The WiggleZ Dark Energy Survey: the growth rate of cosmic structure since redshift z=0.9 (2011, background): “The growth rate of this structure with time is a key discriminant between cosmological models (e.g., Linder & Jenkins 2003, Linder & Cahn 2007, Nesseris & Perivolaropoulos 2008).”
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Constraining modified gravity (2016, methodology): “…GR is to introduce one additional parameter to the ΛCDM model, parametrising the growth rate through the gravitational growth index γ (Linder 2005; Linder & Cahn 2007) as f(a) = Ωm(a) γ (1) with the scale factor a, Ωm(a) = ρm(a)/[3M 2 pH 2(a)] where ρm is the matter background density, Mp the…”
Modified Gravity and Cosmology (2011, methodology): “73Incorrect values for γ in DGP models have been presented in [816, 41, 1263].”
Cosmology and Fundamental Physics with the Euclid Satellite (2012, neutral): “This parameterization has been widely employed [174, 372, 778, 153, 977, 1278, 432, 597, 598].”
The VIMOS Public Extragalactic Redshift Survey (VIPERS) - an unprecedented view of galaxies and large-scale structure at 0.5 < z < 1.2 (2013, background): “If gravity is modified on large scales, different forms are predicted (e.g. Dvali et al. 2000; Linder & Cahn 2007).”
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological implications of the configuration-space clustering wedges (2016, methodology): “In the context of GR, the redshift evolution of the structure growthrate parameter can be accurately computed as f (z) = m(z)γ , (33) with γ = 0.55 with a small correction depending on the value of wDE (Linder & Cahn 2007).”
LATE-TIME COSMOLOGY WITH 21 cm INTENSITY MAPPING EXPERIMENTS (2014, background): “…many modified gravity theories do not have growth histories that are well described by a constant γ. Allowing γ to be a function of redshift can help (Linder & Cahn 2007; Ishak & Dossett 2009), but even then there are many cases where the growth rate becomes scale dependent or is otherwise poorly…”
FIRST-YEAR SLOAN DIGITAL SKY SURVEY-II (SDSS-II) SUPERNOVA RESULTS: CONSTRAINTS ON NONSTANDARD COSMOLOGICAL MODELS (2009, methodology): “This can be done using information about structure formation as expressed by the growth factor (Linder 2005; Linder & Cahn 2007).”