A look at the Hubble speed from first principles. (arXiv:2011.10559v1 [astro-ph.CO])

<a href="http://arxiv.org/find/astro-ph/1/au:+Renzi_F/0/1/0/all/0/1">Fabrizio Renzi</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Silvestri_A/0/1/0/all/0/1">Alessandra Silvestri</a>

We introduce a novel way of measuring $H_0$ from a combination of independent

geometrical datasets, namely Supernovae, Baryon Acoustic Oscillations and

Cosmic Chronometers, without the need of calibration nor of the choice of a

cosmological model. Our method builds on the emph{distance duality relation}

which sets the ratio of luminosity and angular diameter distances to a fixed

scaling with redshift, for any metric theory of gravity with standard photon

propagation. In our analysis of the data we employ Gaussian Process algorithms

to obtain constraints that are independent from the underlying cosmological

model. We find $H_0=69.5pm1.7$ Km/s/Mpc, showing that it is possible to

constrain $H_0$ with an accuracy of $2%$ with minimal assumptions. While

competitive with current astrophysical and cosmological constraints, our result

is not precise enough to solve the Hubble tension in a definitive way. However,

we uncover some interesting features that hint at a twofold solution of the

tension.

We introduce a novel way of measuring $H_0$ from a combination of independent

geometrical datasets, namely Supernovae, Baryon Acoustic Oscillations and

Cosmic Chronometers, without the need of calibration nor of the choice of a

cosmological model. Our method builds on the emph{distance duality relation}

which sets the ratio of luminosity and angular diameter distances to a fixed

scaling with redshift, for any metric theory of gravity with standard photon

propagation. In our analysis of the data we employ Gaussian Process algorithms

to obtain constraints that are independent from the underlying cosmological

model. We find $H_0=69.5pm1.7$ Km/s/Mpc, showing that it is possible to

constrain $H_0$ with an accuracy of $2%$ with minimal assumptions. While

competitive with current astrophysical and cosmological constraints, our result

is not precise enough to solve the Hubble tension in a definitive way. However,

we uncover some interesting features that hint at a twofold solution of the

tension.

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