Spatial Curvature and Large Scale Lorentz Violation

TL;DR

This paper explores a cosmological model incorporating large scale Lorentz violation and spatial curvature to address tensions in Hubble constant measurements, providing new constraints and discussing model viability.

Contribution

It introduces a large scale Lorentz violation cosmological model with spatial curvature and analyzes its compatibility with observational data.

Findings

Constraints on spatial curvature from distance modulus and redshift data

Degeneracy among curvature, cosmological constant, and contortion distribution

Model viability in explaining current cosmological observations

Abstract

The tension between the Hubble constant obtained from the local measurements and from cosmic microwave background (CMB) measurements motivated us to consider the cosmological model beyond $\Lambda$CDM one. We investigate the cosmology in the large scale Lorentz violation model with non-vanishing spatial curvature. The degeneracy among spatial curvature, cosmological constant and cosmological contortion distribution makes the model viable in describing the known observation date. We get some constraints on the spatial curvature by the comparison of the relation between measured distance modulus and red-shift with the predicted one, the evolution of matter density over time and the evolution of effective cosmological constant. The performance of large scale Lorentz violation model with non-vanishing spatial curvature under these constrains is discussed.