Re-evaluation of ${\Omega }_k$ of the normalised Friedmann-Lema\^ıtre-Robertson-Walker model: Implications for Hubble constant determinations

Abstract

The description of spacetime is an fundamental problem of cosmology. We explain why the current assignments of spacetime geometries for ${\Omega }_k$ of the Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) model are probably incorrect and suggest more useful descriptions. We show that ${\Omega }_k$ represents not only curvature but the influence of matter density on the extent of spacetime between massive objects. Recent analyses of supernovae type Ia (SNe Ia) and HII/GEHR data with the FLRW model present the best fits with a small value for ${\Omega }_m$ and a large ${\Omega }_k$. These results are consistent with our Universe exhibiting sparse matter density and quasi-Euclidean geometry and the small ${\Omega }_m$ value agrees with Big Bang nucleosynthesis calculations. We suggest the geometry of our current Universe is better described by a value for ${\Omega }_k\approx$1 rather than 0. As an example we extend the FLRW model towards the Big Bang and discover a simple explanation of how matter creation developed into the currently geometrically flat Universe with sparse, homogeneous, isotropic matter and energy distributions. Assigning ${\Omega }_k\approx 1$ to describe quasi-Euclidean spacetime geometry is also useful for estimating $H_0$ and should help resolve the tension surrounding current estimates by different investigators.

arXiv comment32 pages, 5 figures, 1 table

References in corpus (33)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Case for a Positive Cosmological Lambda-term
• The Cosmological Constant
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Dark Energy and the Accelerating Universe
• A gravitational-wave standard siren measurement of the Hubble constant
• Big Bang Nucleosynthesis: 2015
• Dark Energy after GW170817: dead ends and the road ahead
• The Carnegie-Chicago Hubble Program. VIII. An Independent Determination of the Hubble Constant Based on the Tip of the Red Giant Branch
• Milky Way Cepheid Standards for Measuring Cosmic Distances and Application to Gaia DR2: Implications for the Hubble Constant
• Planck evidence for a closed Universe and a possible crisis for cosmology
• Big-Bang Nucleosynthesis Predictions for Precision Cosmology
• Inflationary Cosmology
• Inflationary paradigm in trouble after Planck2013
• Evidence for anisotropy of cosmic acceleration
• What Is The BBN Prediction for the Baryon Density and How Reliable Is It?
• Experiment to detect dark energy forces using atom interferometry
• Inflationary schism after Planck2013
• Cosmological Constraints from Multiple Probes in the Dark Energy Survey
• Early-type Host Galaxies of Type Ia Supernovae. II. Evidence for Luminosity Evolution in Supernova Cosmology
• Cosmology Intertwined IV: The Age of the Universe and its Curvature
• Lecture Notes in Cosmology
• Apparent cosmic acceleration from type Ia supernovae
• Chaotic Inflation in Supergravity after Planck and BICEP2
• On the relevance of matter and glue dynamics for baryon number fluctuations
• Inflationary Cosmology: From Theory to Observations
• Is the expansion of the universe accelerating? All signs still point to yes a local dipole anisotropy cannot explain dark energy
• Model-independent curvature determination with 21cm intensity mapping experiments
• Significant Luminosity Differences of Two Twin Type Ia Supernovae
• Galaxy Formation Efficiency and the Multiverse Explanation of the Cosmological Constant with EAGLE Simulations
• Constraining Density Fluctuations with Big Bang Nucleosynthesis in the Era of Precision Cosmology
• The Cosmological Constant Constrained with Union2.1 Supernovae Type Ia Data. Derivation and evaluation of several FRW and Carmeli models presenting underwhelming support for the standard model