Reconciling $H_0$ tension in a six parameter space?
  Consistent observations indicate that some of the important cosmological
parameters measured through the local observations are in huge tension with
their measurements from the global observations (within the minimal
$\Lambda$CDM cosmology). The tensions in those cosmological parameters have
been found to be either weakened or reconciled with the introduction of new
degrees of freedom that effectively increases the underlying parameter space
compared to the minimal $\Lambda$CDM cosmology. It might be interesting to
investigate the above tensions within the context of an emergent dark energy
scenario proposed recently by Li and Shafieloo~\cite{Li:2019yem}. We find that
the tension on $H_0$ is clearly alleviated within 68\% confidence level with an
improvement of the $\chi^2$ for CMB, for the above emergent dark energy model
having only six free parameters similar to the spatially flat $\Lambda$CDM
model. The tension on $H_0$ is still alleviated for every combined datasets
considered in the work, however, such alleviation occurs by worsening the
$\chi^2$ compared to the $\chi^2$ for $\Lambda$CDM model obtained for the same
combined dataset.
