A non-parametric test of variability of Type Ia supernovae luminosity and CDDR

Abstract

The first observational evidence for cosmic acceleration appeared from Type Ia supernovae (SNe Type Ia) Hubble diagram from two different groups. However, the empirical treatment of SNe Type Ia and their ability to show cosmic acceleration have been the subject of some debate in the literature. In this work we probe the assumption of redshift-independent absolute magnitude $(M_{\mathrm{B}})$ of SNe along with its correlation with spatial curvature (${\Omega }_{k0}$) and cosmic distance duality relation (CDDR) parameter ($\eta (z)$). This work is divided into two parts. Firstly, we check the validity of CDDR which relates the luminosity distance ($d_L$) and angular diameter distance ($d_A$) via redshift. We use the Pantheon SNe Ia dataset combined with the $H(z)$ measurements derived from the cosmic chronometers. Further, four different redshift-dependent parametrizations of the distance duality parameter $(\eta (z))$ are used. The CDDR is fairly consistent for almost every parametrization within a $2\sigma$ confidence level in both flat and a non-flat universe. In the second part, we assume the validity of CDDR and emphasize on the variability of $M_{\mathrm{B}}$ and its correlation with ${\Omega }_{k0}$. We choose four different redshift-dependent parametrizations of $M_{\mathrm{B}}$. The results indicate no evolution of $M_{\mathrm{B}}$ within $2\sigma$ confidence level. For all parametrizations, the best fit value of ${\Omega }_{k0}$ indicates a flat universe at $2\sigma$ confidence level. However a mild inclination towards a non flat universe is also observed. We have also examined the dependence of the results on the choice of different priors for $H_0$.

32 Pages, 10 Figures, 11 Tables. Accepted for publication in JCAP

References in corpus (17)

• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved Distances to Type Ia Supernovae with Multicolor Light Curve Shapes: MLCS2k2
• Cosmic Distances Calibrated to 1% Precision with Gaia EDR3 Parallaxes and Hubble Space Telescope Photometry of 75 Milky Way Cepheids Confirm Tension with LambdaCDM
• WMAP constraints on low redshift evolution of dark energy
• Distinguishing Modified Gravity from Dark Energy
• SiFTO: An Empirical Method for Fitting SNe Ia Light Curves
• Dark Energy versus Modified Gravity
• Testing the Distance-Duality Relation with Galaxy Clusters and Type Ia Supernovae
• Cosmological-model-independent tests for the distance-duality relation from Galaxy Clusters and Type Ia Supernova
• Early-type Host Galaxies of Type Ia Supernovae. II. Evidence for Luminosity Evolution in Supernova Cosmology
• Consistency among distance measurements: transparency, BAO scale and accelerated expansion
• Is cosmic acceleration proven by local cosmological probes?
• Soundness of Dark Energy properties
• Testing Cosmic Distance-Duality Relation from Future Gravitational Wave Standard Sirens
• Bayesian Comparison of the Cosmic Duality Scenarios
• An Empirical Fitting Method for Type Ia Supernova Light Curves: A Case Study of SN 2011fe
• Reconstruct the Distance Duality Relation by Gaussian Process

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