Probing Newton's constant on vast scales: Dvali-Gabadadze-Porrati gravity, cosmic acceleration, and large scale structure

By A. Lue, R. Scoccimarro, Glenn Starkman. 2004

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The nature of the fuel that drives today’s cosmic acceleration is an open and tantalizing mystery. The braneworld theory of Dvali, Gabadadze, and Porrati (DGP) provides a context where late-time acceleration is driven not by some energy-momentum component (dark energy), but rather is the manifestation of the excruciatingly slow leakage of gravity off our four-dimensional world into an extra dimension. At the same time, DGP gravity alters the gravitational force law in a specific and dramatic way at cosmologically accessible scales. We derive the DGP gravitational force law in a cosmological setting for spherical perturbations at subhorizon scales and compute the growth of large-scale structure. We find that a residual repulsive force at large distances gives rise to a suppression of the growth of density and velocity perturbations. Explaining the cosmic acceleration in this framework leads to a present day fluctuation power spectrum normalization �8 ≤ 0.8 at about the two-sigma level, in contrast with observations. We discuss further theoretical work necessary to go beyond our approximations to confirm these results.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ee0ab5b5ee111e3003464666512970b5b8ed8091

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Citations in the corpus

f(R) Theories (2010, methodology): “On the sub-horizon scales larger than the Vainshtein radius, the equation for linear matter perturbations δm in the DGP model was derived in [400, 369] under a quasi-static approximation: δm + 2H?̇?m − 4πGeffρmδm ≃ 0 , (13.”
The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at z ∼ 1.4 (2015, background): “On the scale of surveys we have that the effective Newton’s constant satisfies (Lue et al. 2004, Koyama & Maartens 2006): Geff = [ 1+ 1 3β(t) ] G0 , β(t)≡1−2Hrc ( 1+ Ḣ 3H2 ) .”
On the Growth of Perturbations as a Test of Dark Energy and Gravity (2006, background): “General relativity needs to be modified and we cannot use it to deduce the existence of either a cosmological constant or an exotic form of energy (Dvali et al. 2000; Lue et al. 2004).”
A Bird's Eye View of f (R)-Gravity (2009, background): “As stressed in [40], it is possible that the observed acceleration is not the manifestation of another ingredient of the cosmic pie, but rather the first signal of a breakdown of our understanding of the laws of gravitation in the infrared limit.”