Data from the low-redshift Universe can play a key role in testing cosmological models. Specifically, measurements of the peculiar velocities of galaxies can be used to probe gravitational physics on large scales. This allows tests of modified gravity models, which predict deviations from General Relativity, and may provide an alternative explanation for dark energy. The limited survey volume of low-redshift surveys leads to high sample variance, but it has been theorised that this can be mitigated by cancelling sample variance between the velocity and density fields of the survey. In this PhD, I will apply this theoretical approach to data from the 6 degree Field Galaxy Survey, with the aim to test modified gravity models.
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