Testing the consistency between cosmological measurements of distance and age

TL;DR

This paper introduces a model-independent method to test the consistency of cosmological measurements of distance and age using multiple observational data sets and Gaussian processes, finding no evidence of inconsistency.

Contribution

It presents a novel approach to test the distance duality relation without relying on specific cosmological models, combining diverse data sets with Gaussian processes.

Findings

No evidence for inconsistency between data sets

Distance duality relation holds within the tested redshift range

Method can be applied to future cosmological data

Abstract

We present a model independent method to test the consistency between cosmological measurements of distance and age, assuming the distance duality relation. We use type Ia supernovae, baryon acoustic oscillations, and observational Hubble data, to reconstruct the luminosity distance D_L(z), the angle averaged distance D_V(z) and the Hubble rate H(z), using Gaussian processes regression technique. We obtain estimate of the distance duality relation in the redshift range 0.1<z<0.73 and we find no evidence for inconsistency between the data sets used.