Cosmological Measurements with General Relativistic Galaxy Correlations
  We investigate the cosmological dependence and the constraining power of
large-scale galaxy correlations, including all redshift-distortions,
wide-angle, lensing and gravitational potential effects on linear scales. We
analyze the cosmological information present in the lensing convergence and in
the gravitational potential terms describing the so-called "relativistic
effects," and we find that, while smaller than the information contained in
intrinsic galaxy clustering, it is not negligible. We investigate how
neglecting them does bias cosmological measurements performed by future
spectroscopic and photometric large-scale surveys such as SKA and Euclid. We
perform a Fisher analysis using the CLASS code, modified to include
scale-dependent galaxy bias and redshift-dependent magnification and evolution
bias. Our results show that neglecting relativistic terms introduces an error
in the forecasted precision in measuring cosmological parameters of the order
of a few tens of percent, in particular when measuring the matter content of
the Universe and primordial non-Gaussianity parameters. Therefore, we argue
that radial correlations and integrated relativistic terms need to be taken
into account when forecasting the constraining power of future large-scale
number counts of galaxy surveys.
