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Limits on deviations from the inverse-square law on megaparsec scales

Carolyn Sealfon^*, Licia Verde^†, and Raul Jimenez^‡

Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA

^*Electronic address: csealfon@physics.upenn.edu
^†Electronic address: lverde@physics.upenn.edu
^‡Electronic address: raulj@physics.upenn.edu

Phys. Rev. D 71, 083004 – Published 8 April, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.083004

Abstract

We present an attempt to constrain deviations from the gravitational inverse-square law on large-scale structure scales. A perturbed law modifies the Poisson equation, which implies a scale-dependent growth of overdensities in the linear regime and thus modifies the power spectrum shape. We use two large-scale structure surveys (the Sloan Digital Sky survey and the Anglo-Australian two-degree field galaxy redshift survey) to constrain the parameters of two simple modifications of the inverse-square law. We find no evidence for deviations from normal gravity on the scales probed by these surveys ( $\sim 10^{23} m$ ).

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Limits on deviations from the inverse-square law on megaparsec scales

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