Model Independent Test for Gravity using Galaxy-Intensity Mapping Cross Correlations and EG statistics
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I will discuss a recent project that I have been doing with some collaborators at the University of Geneva. We develop a model independent test for gravity based on the EG statistics using the cross correlations of galaxies with the 21-cm intensity mapping, based on the lensing estimator that we recently proposed in (Jalilvand et al. 2019). Our approach has the advantage of reduced sensitivity to systematic effects as it only uses cross-correlation spectra. Using a Fisher forecast for the combination of HIRAX with Euclid Spectroscopic, Euclid Photometric and SKA2 we show that we can measure EG with a precision of 6%, 9%, and 2% respectively at a redshift of z=0.8 while keeping the contamination from unwanted contributions at an insignificant level.
If time permits, at the end, I will briefly talk about density reconstruction method from galaxy clustering including non-linearities from galaxy biasing, gravity and primordial non-Gaussianity.