Hubble tension and absolute constraints on the local Hubble parameter

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, \sqrt{Λc^2/3} \simeq 56.2$ and \sqrt{Λc^2} \simeq 97.3 (km/sec Mpc^{-1}), respectively. The link to the so-called maximum force--tension issue in cosmological models is revealed.

4 pages, 1 figure; A&A (in press); to match the published version

References in corpus (12)

• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• The Expansion of the Universe is Faster than Expected
• Addressing the cosmological $H_0$ tension by the Heisenberg uncertainty
• Maximum Tension: with and without a cosmological constant
• Clustering of Galaxies with f(R) gravity
• Black hole shadow to probe modified gravity
• The cosmological constant derived via galaxy groups and clusters
• Hubble tension vs two flows
• Porosity criterion for hyperbolic voids and the cosmic microwave background
• H_0 tension: clue to common nature of dark sector?
• Cosmological constant as a fundamental constant
• Cosmological constant, information and gedanken experiments with black hole horizons