Model-independent constraints on Type Ia supernova light-curve hyper-parameters and reconstructions of the expansion history of the Universe

Abstract

We reconstruct the expansion history of the Universe using type Ia supernovae (SN Ia) in a manner independent of any cosmological model assumptions. To do so, we implement a non-parametric iterative smoothing method on the Joint Light-curve Analysis (JLA) data while exploring the SN Ia light-curve hyper-parameter space by Monte Carlo Markov Chain sampling. We test to see how the posteriors of these hyper-parameters depend on cosmology, whether using different dark energy models or reconstructions shift these posteriors. Our constraints on the SN Ia light-curve hyper-parameters from our model-independent analysis are very consistent with the constraints from using different parametrizations of the equation of state of dark energy, namely the flat $\Lambda \mathrm{CDM}$ cosmology, the Chevallier-Polarski-Linder (CPL) model, and the Phenomenologically Emergent Dark Energy (PEDE) model. This implies that the distance moduli constructed from the JLA data are mostly independent of the cosmological models. We also studied that the possibility the light-curve parameters evolve with redshift and our results show consistency with no evolution. The reconstructed expansion history of the Universe and dark energy properties also seem to be in good agreement with the expectations of the standard $\Lambda \mathrm{CDM}$ model. However, our results also indicate that the data still allow for considerable flexibility in the expansion history of the Universe.

arXiv comment6 pages, 4 figures

References in corpus (34)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• emcee: The MCMC Hammer
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• SALT2: using distant supernovae to improve the use of Type Ia supernovae as distance indicators
• Two new diagnostics of dark energy
• The Dependence of Type Ia Supernova Luminosities on their Host Galaxies
• Hubble Residuals of Nearby Type Ia Supernovae Are Correlated with Host Galaxy Masses
• SALT: a Spectral Adaptive Light curve Template for Type Ia Supernovae
• Evidence for anisotropy of cosmic acceleration
• A Simple Phenomenological Emergent Dark Energy Model can Resolve the Hubble Tension
• Smoothing Supernova Data to Reconstruct the Expansion History of the Universe and its Age
• Marginal evidence for cosmic acceleration from Type Ia supernovae
• Model independent tests of the standard cosmological model
• Model Independent Reconstruction of the Expansion History of the Universe and the Properties of Dark Energy
• Model-independent test of the FLRW metric, the flatness of the Universe, and non-local measurement of $H_0{r}_{\mathrm{d}}$
• Is the expansion of the universe accelerating? All signs point to yes
• Is cosmic acceleration proven by local cosmological probes?
• Cosmological Parameter Uncertainties from SALT-II Type Ia Supernova Light Curve Models
• Falsifying $\Lambda$CDM: Model-independent tests of the concordance model with eBOSS DR14Q and Pantheon
• Environmental Dependence of Type Ia Supernova Luminosities from a Sample without a Local-Global Difference in Host Star Formation
• Is the expansion of the universe accelerating? All signs still point to yes a local dipole anisotropy cannot explain dark energy
• Model-independent cosmological constraints from growth and expansion
• Model-independent cosmic acceleration and type Ia supernovae intrinsic luminosity redshift dependence

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