Regular Article - Theoretical Physics
tension or M overestimation?
Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland
2 ICRANet, Piazza della Repubblica 10, 65122, Pescara, Italy
3 Instituto de Fica, Universidad deÚntioquia, A.A.1226, Medell, Colombia
Accepted: 16 June 2022
Published online: 12 July 2022
There is a strong discrepancy between the value of the Hubble parameter obtained from large scale observations such as the Planck mission, and the small scale value , obtained from low redshift supernovae (SNe). The value of the absolute magnitude used as prior in analyzing observational data is obtained from low-redshift SNe, assuming a homogeneous Universe, but the distance of the anchors used to calibrate the SNe to obtain M would be affected by a local inhomogeneity, making it inconsistent to test the Copernican principle using , since M estimation itself is affected by local inhomogeneities. We perform an analysis of the luminosity distance of low redshift SNe, using different values of M, , corresponding to different values of , , obtained from the model independent consistency relation between and M which can be derived from the definition of the distance modulus. We find that the value of M can strongly affect the evidence of a local inhomogeneity. We analyze data from the Pantheon catalog, finding no significant statistical evidence of a local inhomogeneity using the parameters , confirming previous studies, while with we find evidence of a small local void, which causes an overestimation of with respect to . An inhomogeneous model with the parameters fits the data better than a homogeneous model with , resolving the apparent tension. Using , we obtain evidence of a local inhomogeneity with a density contrast , extending up to a redshift of , in good agreement with recent results of galaxy catalogs analysis (Wong et al. in The local hole: a galaxy under-density covering 90 mpc, 2021).
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.