We apply the methodology developed in ( 50 ; 51 ) to BOSS DR12 galaxies and derive cosmological constraints from the redshift dependence of the Alcock-Paczynski ( AP ) effect .
The apparent anisotropy in the distribution of observed galaxies arise from two main sources , the redshift-space distortion ( RSD ) effect due to the galaxy peculiar velocities , and the geometric distortion when incorrect cosmological models are assumed for transforming redshift to comoving distance , known as the AP effect .
Anisotropies produced by the RSD effect are , although large , maintaining a nearly uniform magnitude over a large range of redshift , while the degree of anisotropies from the AP effect varies with redshift by much larger magnitude .
We split the DR12 galaxies into six redshift bins , measure the 2-point correlation function in each bin , and assess the redshift evolution of anisotropies .
We obtain constraints of \Omega _ { m } = 0.290 \pm 0.053 , w = -1.07 \pm 0.15 , which are comparable with the current constraints from other cosmological probes such as type Ia supernovae , cosmic microwave background , and baryon acoustic oscillation ( BAO ) .
Combining these cosmological probes with our method yield tight constraints of \Omega _ { m } = 0.301 \pm 0.006 , w = -1.054 \pm 0.025 .
Our method is complementary to the other large scale structure probes like BAO and topology .
We expect this technique will play an important role in deriving cosmological constraints from large scale structure surveys .