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Complementarity of weak lensing and peculiar velocity measurements in testing general relativity

Yong-Seon Song1,2,*, Gong-Bo Zhao2, David Bacon2, Kazuya Koyama2, Robert C. Nichol2, and Levon Pogosian3

  • 1Korea Institute for Advanced Study, Dongdaemun-gu, Seoul 130-722, Korea
  • 2Institute of Cosmology & Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth, PO1 3FX, United Kingdom
  • 3Department of Physics, Simon Fraser University, Burnaby, BC, V5A 1S6, Canada

  • *ysong@kias.re.kr
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Phys. Rev. D 84, 083523 – Published 21 October, 2011

DOI: https://doi.org/10.1103/PhysRevD.84.083523

Abstract

We explore the complementarity of weak lensing and galaxy peculiar velocity measurements to better constrain modifications to General Relativity. We find no evidence for deviations from General Relativity on cosmological scales from a combination of peculiar velocity measurements (for Luminous Red Galaxies in the Sloan Digital Sky Survey) with weak lensing measurements (from the Canadian France Hawaii Telescope Legacy Survey). We provide a Fisher error forecast for a Euclid-like space-based survey including both lensing and peculiar velocity measurements and show that the expected constraints on modified gravity will be at least an order of magnitude better than with present data, i.e. we will obtain ≃5% errors on the modified gravity parametrization described here. We also present a model-independent method for constraining modified gravity parameters using tomographic peculiar velocity information, and apply this methodology to the present data set.

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Phys. Rev. D 84, 083523– Published 21 October, 2011
  • Received 11 January 2011

© 2011 American Physical Society

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