Galaxy clustering constraints on deviations from Newtonian gravity at cosmological scales

Journal Article · Tue Mar 15 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.064030· OSTI ID:20708907

Shirata, Akihito ^[1]; Shiromizu, Tetsuya ^[1]; Yoshida, Naoki ^[2]; Suto, Yasushi ^[3]

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1. Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551 (Japan)
2. Department of Physics and Astrophysics, Nagoya University, Nagoya 464-8602 (Japan)
3. Department of Physics, University of Tokyo, Tokyo 113-0033 (Japan)

In spite of the growing observational evidence for dark matter and dark energy in the universe, their physical nature is largely unknown. In fact, several authors have proposed modifications of Newton's law of gravity at cosmological scales to account for the apparent acceleration of the cosmic expansion. Inspired by such suggestions, we attempt to constrain possible deviations from Newtonian gravity by means of the clustering of SDSS (Sloan Digital Sky Survey) galaxies. To be specific, we assume a simple modification of Newton's law with an additional Yukawa-type term characterized by the amplitude {alpha} and the length scale {lambda}. Adopting spatially-flat universes dominated by cold dark matter and/or dark energy, we solve a linear perturbation equation for the growth of density fluctuations. In particular, we find an exact analytic solution for the Einstein-de Sitter case. Following the Peacock-Dodds prescription, we compute the nonlinear power spectra of mass fluctuations, perform a statistical comparison with the SDSS galaxy data, and derive constraints in the {alpha}-{lambda} plane; for instance, we obtain the constraints of -0.5<{alpha}<0.6 and -0.8<{alpha}<0.9 (99.7% confidence level) for {lambda}=5h{sup -1} Mpc and 10h{sup -1} Mpc, respectively. We also discuss several future possibilities for improving our analysis.

• OSTI ID: 20708907
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANALYTICAL SOLUTION
COMPARATIVE EVALUATIONS
COSMOLOGY
DE SITTER GROUP
DISTURBANCES
ENERGY SPECTRA
FLUCTUATIONS
GALAXIES
GALAXY CLUSTERS
GRAVITATION
NONLINEAR PROBLEMS
NONLUMINOUS MATTER
UNIVERSE