Galaxy clustering constraints on deviations from Newtonian gravity at cosmological scales. II. Perturbative and numerical analyses of power spectrum and bispectrum

Akihito Shirata, Yasushi Suto, Chiaki Hikage, Tetsuya Shiromizu, and Naoki Yoshida
Phys. Rev. D 76, 044026 – Published 30 August 2007

Abstract

We explore observational constraints on possible deviations from Newtonian gravity by means of large-scale clustering of galaxies. We measure the power spectrum and the bispectrum of Sloan Digital Sky Survey galaxies and compare the result with predictions in an empirical model of modified gravity. Our model assumes an additional Yukawa-like term with two parameters that characterize the amplitude and the length scale of the modified gravity. The model predictions are calculated using two methods; second-order perturbation theory and direct N-body simulations. These methods allow us to study nonlinear evolution of large-scale structure. Using the simulation results, we find that perturbation theory provides reliable estimates for the power spectrum and the bispectrum in the modified Newtonian model. We also construct mock galaxy catalogs from the simulations, and derive constraints on the amplitude and the length scale of deviations from Newtonian gravity. The resulting constraints from the power spectrum are consistent with those obtained in our earlier, indicating the validity of the previous empirical modeling of gravitational nonlinearity in the modified Newtonian model. If linear biasing is adopted, the bispectrum of the Sloan Digital Sky Survey galaxies yields constraints very similar to those from the power spectrum. If we allow for the nonlinear biasing instead, we find that the ratio of the quadratic to linear biasing coefficients, b2/b1, should satisfy 0.25<b2/b1<0.19 for λ=5h1Mpc and 0.19<b2/b1<0.13 for λ=10h1Mpc in the modified Newtonian model.

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  • Received 7 May 2007

DOI:https://doi.org/10.1103/PhysRevD.76.044026

©2007 American Physical Society

Authors & Affiliations

Akihito Shirata1,2, Yasushi Suto2,3, Chiaki Hikage4,*, Tetsuya Shiromizu1, and Naoki Yoshida4

  • 1Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan
  • 2Department of Physics, The University of Tokyo, Tokyo 113-0033, Japan
  • 3Research Center for the Early Universe, The University of Tokyo, Tokyo 113-0033, Japan
  • 4Department of Physics, Nagoya University, Nagoya 464-8602, Japan

  • *Present address: School of Physics and Astronomy, University of Nottingham, University Park, Nottingham NG7 2RD, U.K.

See Also

Galaxy clustering constraints on deviations from Newtonian gravity at cosmological scales

Akihito Shirata, Tetsuya Shiromizu, Naoki Yoshida, and Yasushi Suto
Phys. Rev. D 71, 064030 (2005)

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Vol. 76, Iss. 4 — 15 August 2007

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