Tuesdays 10:30 - 11:30 | Fridays 11:30 - 12:30
Showing votes from 2017-01-17 11:30 to 2017-01-20 12:30 | Next meeting is Friday May 22nd, 11:30 am.
Low-redshift supernovae (SN) has increased the apparent tension between the value of $H_0$ estimated from low and high red-shift observations such as the cosmic microwave background (CMB) radiation. At the same time other observations have provided evidence of the existence of a local underdensity surrounding us up to a red-shift of about $0.07$. We compute with different methods the effects of this local void on the low-redshift luminosity distance using an exact solution of the Einstein's equations, linear perturbation theory and a low-redshift expansion. We find that the dominant effect is the non relativist Doppler red-shift correction, which is proportional to the volume averaged density contrast and to the comoving distance from the center. The red-shift correction can completely resolve the apparent $H_0$ tension. The void affects the megamaser angular diameter distance and the stellar parallax measurements used to calibrate the Cepheids, causing an overall miss-estimation of low red-shift supernovae luminosity distance and consequently of $H_0$. Comparison with previous analysis shows that a compensated void is favored. This effect was not taken into account because the density field maps used to obtain the peculiar velocity were for $z\leq 0.06$, which is not a sufficiently large scale to detect the presence of a local void extending up to $z=0.07$. The void does not affect the high red-shift luminosity distance because the volume averaged density contrast tends to zero asymptotically, making the value of $H_0^{CMB}$ obtained from CMB observations insensitive to the local structure. We propose a method to obtain the monopole component of the local density profile from the deviations of the red-shift uncorrected observed luminosity distance respect to the $\Lambda CDM$ prediction based on cosmological parameters obtained from large scale observations.