Gaussian discriminators between $\Lambda$CDM and wCDM cosmologies using expansion data

Abstract

The Gaussian linear model provides a unique way to obtain the posterior probability distribution as well as the Bayesian evidence analytically. Considering the expansion rate data, the Gaussian linear model can be applied for $\Lambda$CDM, wCDM, and a non-flat $\Lambda$CDM. In this paper, we simulate the expansion data with various precision and obtain the Bayesian evidence, then it has been used to discriminate the models. The data uncertainty is in the range $\sigma \in (0.5,10)\%$ and two different sampling rates have been considered. Our results indicate that it is possible to discriminate $w=-1.02$ (or $w=-0.98$) model from the $\Lambda$CDM $(w=-1)$ with $\sigma =0.5\%$ uncertainty in expansion rate data. Finally, we perform a parameters inference in both the MCMC and Gaussian linear model, using currently available expansion rate data, and compare the results.

arXiv commentComments are welcome

References in corpus (26)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• Modified Gravity and Cosmology
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• Planck evidence for a closed Universe and a possible crisis for cosmology
• Cosmology Intertwined II: The Hubble Constant Tension
• New physics in light of the $H_0$ tension: an alternative view
• PolyChord: nested sampling for cosmology
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Applications of Bayesian model selection to cosmological parameters
• Setting the Stage for Cosmic Chronometers. II. Impact of Stellar Population Synthesis Models Systematics and Full Covariance Matrix
• Is the Jeffreys' scale a reliable tool for Bayesian model comparison in cosmology?
• Testing Late Time Cosmic Acceleration with uncorrelated Baryon Acoustic Oscillations dataset
• Cosmology Intertwined I: Perspectives for the Next Decade
• A new way to test the Cosmological Principle: measuring our peculiar velocity and the large scale anisotropy independently
• Does $\Lambda$CDM really be in tension with the Hubble diagram data?
• Nested sampling with any prior you like
• Using newest VLT-KMOS HII Galaxies and other cosmic tracers to test the $\Lambda$CDM tension
• A null test of the Cosmological Principle with BAO measurements
• On The Distribution of Bayesian Evidences
• Non-parametric modeling of the cosmological data, base on the ${\chi }^2$ distribution

Cited by in corpus (1)

• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension