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A constraint on the viable f(R) model is investigated by confrontingtheoretical predictions with the multipole power spectrum of the luminous redgalaxy sample of the Sloan Digital Sky survey data release 7. We obtain aconstraint on the Compton wavelength parameter of the f(R) model on the scalesof cosmological large-scale structure. A prospect of constraining the Comptonwavelength parameter with a future redshift survey is also investigated. Theusefulness of the redshift-space distortion for testing the gravity theory oncosmological scales is demonstrated.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Constraint on the cosmological f(R) model from the multipole power  spectrum of the SDSS luminous red galaxy sample and prospects for a future  redshift survey