The Hubble tension in the non-flat Super-$\Lambda {\rm CDM}$ model

TL;DR

This paper explores the impact of spatial curvature and primordial trispectrum effects on the Hubble tension within an extended cosmological model, using Planck data and local H0 measurements.

Contribution

It introduces a non-flat Super-$ m \Lambda CDM$ model incorporating spatial curvature and trispectrum effects, analyzing its implications for the Hubble tension.

Findings

Preference for non-zero spatial curvature $\

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Abstract

We investigate the Hubble tension in the non-flat Super-$\Lambda {\rm CDM}$ model. The non-flat Super-$\Lambda {\rm CDM}$ model extends the Super-$\Lambda {\rm CDM}$ model by including the spatial curvature as a free parameter. The Super-$\Lambda {\rm CDM}$ model extends the standard $\Lambda {\rm CDM}$ model of cosmology through additional parameters accounting for the possible effect of a trispectrum in the primordial fluctuations. In the cosmic microwave background data, this effect can be parameterized using parameters that change the observed angular power spectrum from the theoretical power spectrum due to a trispectrum that couples long and short wavelength modes. In this work, we perform Markov Chain Monte Carlo (MCMC) data analysis on the recent Planck 2018 temperature and polarization fluctuations data and the local Hubble constant measurements from supernovae data assuming a non-flat Super-$\Lambda {\rm CDM}$ model. We find that there is a preference for non-zero values of the spatial curvature parameter $\Omega_k$ and the Super-$\Lambda {\rm CDM}$ parameter $A_0$ at a level of $\Delta \chi^2$ improvement of approximately 23.