We have studied how local density perturbations could reconcile the Hubble tension. We reproduced a local void through a perturbed FLRW metric with a potential Φ which depends on both time and space. This method allowed us to obtain a perturbed luminosity distance, which is compared with both local and cosmological data. However, when constraining local cosmological parameters with previous results, we found that neither ΛCDM nor Λ(ω)CDM cannot solve the Hubble tension.
@article{arxiv.2107.14377,
title = {Hubble tension and matter inhomogeneities: a theoretical perspective},
author = {Marco San Martín and Carlos Rubio},
journal= {arXiv preprint arXiv:2107.14377},
year = {2023}
}