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The anisotropic galaxy clustering on large scales provides us with a uniqueopportunity to probe into the gravity theory through the redshift-spacedistortions (RSDs) and the Alcock-Paczynski effect. Using the multipole powerspectra up to hexadecapole (ell=4), of the Luminous Red Galaxy (LRG) sample inthe data release 7 (DR7) of the Sloan Digital Sky Survey II (SDSS-II), weobtain simultaneous constraints on the linear growth rate f, angular diameterdistance D_A, and Hubble parameter H at redshift z = 0.3. For this purpose, wefirst extensively examine the validity of a theoretical model for thenon-linear RSDs using mock subhalo catalogues from N-body simulations, whichare constructed to match with the observed multipole power spectra. We showthat the input cosmological parameters of the simulations can be recovered wellwithin the error bars by comparing the multipole power spectra of ourtheoretical model and those of the mock subhalo catalogues. We also carefullyexamine systematic uncertainties in our analysis by testing the dependence onprior assumption of the theoretical model and the range of wavenumbers to beused in the fitting. These investigations validate that the theoretical modelcan be safely applied to the real data. Thus, our results from the SDSS DR7 LRGsample are robust including systematics of theoretical modeling; f(z = 0.3)sigma_8(z = 0.3) =0.49+-0.08(stat.)+-0.04(sys.), D_A (z = 0.3)=968+-42(stat.)+-17(sys.)[Mpc], H (z = 0.3)=81.7+-5.0(stat.)+-3.7(sys.)[km/s/Mpc]. We believe that our method to constrainthe cosmological parameters using subhaloes catalogues will be useful for morerefined samples like CMASS and LOWZ catalogues in the Baryon OscillationSpectroscopic Survey in SDSS-III.

Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample