Hubble tension and absolute constraints on the local Hubble parameter

¹ Center for Cosmology and Astrophysics, Alikhanian National Laboratory and Yerevan State University, Yerevan, Armenia
e-mail: gurzadyan@yerphi.am
² SIA, Sapienza University of Rome, Rome, Italy

Received: 7 July 2021
Accepted: 14 August 2021

Abstract

It is shown, from the two independent approaches of McCrea-Milne and of Zeldovich, that one can fully recover the set equations corresponding to the relativistic equations of the expanding universe of Friedmann-Lemaitre-Robertson-Walker geometry. Although similar, the Newtonian and relativistic set of equations have a principal difference in the content and hence define two flows, local and global ones, thus naturally exposing the Hubble tension at the presence of the cosmological constant Λ. From this, we obtain absolute constraints on the lower and upper values for the local Hubble parameter, √(Λc²/3) ≃ 56.2 and √(Λc²) ≃ 97.3 (km s⁻¹ Mpc⁻¹), respectively. The link to the so-called maximum force–tension issue in cosmological models is revealed.