https://doi.org/10.1140/epjc/s10052-019-7284-4
Regular Article - Theoretical Physics
How does an incomplete sky coverage affect the Hubble Constant variance?
1
Department of Physics and Astronomy, University of the Western Cape, Cape Town, 7535, South Africa
2
Observatório Nacional, Rio de Janeiro, RJ, 20921-400, Brazil
3
Departamento de Física, Universidade Federal do Rio Grande do Norte, Natal, RN, 59072-970, Brazil
* e-mail: carlosap87@gmail.com
Received:
11
April
2019
Accepted:
6
September
2019
Published online:
17
September
2019
We address the 
tension between local and the CMB measurements of the Hubble Constant using simulated Type Ia Supernova (SN) data-sets. We probe its directional dependence by means of a hemispherical comparison through the entire celestial sphere as an estimator of the 
cosmic variance. We perform Monte Carlo simulations assuming isotropic and non-uniform distributions of data points, the latter coinciding with the real data. This allows us to incorporate observational features, such as the sample incompleteness, in our estimation. We obtain that this tension can be alleviated to 
for isotropic realizations, and 
for non-uniform ones. We also find that the variance is largely reduced if the data-sets are augmented to 4 and 10 times the current size. Future surveys will be able to tell whether the Hubble Constant tension happens due to unaccounted cosmic variance, or whether it is an actual indication of physics beyond the standard cosmological model.
© The Author(s), 2019
