Principal component analysis of modified gravity using weak lensing and peculiar velocity measurements

Shinsuke Asaba, Chiaki Hikage, Kazuya Koyama, Gong-Bo Zhao, Alireza Hojjati, Levon Pogosian

Research output: Contribution to journalArticlepeer-review


We perform a principal component analysis to assess ability of future observations to measure departures from General Relativity in predictions of the Poisson and anisotropy equations on linear scales. In particular, we focus on how the measurements of redshift-space distortions (RSD) observed from spectroscopic galaxy redshift surveys will improve the constraints when combined with lensing tomographic surveys. Assuming a Euclid-like galaxy imaging and redshift survey, we find that adding the 3D information decreases the statistical uncertainty by a factor between 3 and 7 compared to the case when only observables from lensing tomographic surveys are used. We also find that the number of well-constrained modes increases by a factor between 3 and 6. Our study indicates the importance of joint galaxy imaging and redshift surveys such as SuMIRe and Euclid to give more stringent tests of the ΛCDM model and to distinguish between various modified gravity and dark energy models.
Original languageEnglish
Article number029
Pages (from-to)029
JournalJournal of Cosmology and Astroparticle Physics
Issue number8
Early online date19 Aug 2013
Publication statusPublished - Aug 2013


  • modified gravity
  • redshift surveys
  • weak gravitational lensing


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