Envisaging ways to resolve or ease the tension in $H_0$
Cosmological Tensions; Inflation; Hubble Constant.
Tensions in cosmology have been the scene of great discussions lately.
From this perspective, we make a brief review of topics in standard cosmology,
in which we look at the most accepted cosmological model today, called $\Lambda$CDM and
with regard to observational cosmology, we are faced with an impasse between
global measurements (dependent on the cosmological model) and local measurements
(independent of the cosmological model). Given this, we therefore propose to study ways to alleviate this impasse,
or rather, this tension of $5 \sigma$, with regard to the Hubble constant.
Our first approach is to consider an inflationary term and check whether it is sufficient to alleviate or resolve the aforementioned
tension.