Pantheon update on a model-independent analysis of cosmological supernova data

Abstract

We present an update of our previous work, necessitated by availability of a significantly improved dataset. The work is a model-independent analysis of the cosmological supernova (Type Ia) data, where function families are fit to the data in form of luminosity distance as function of redshift, that is, $d_L(z)$; and subsequently time-derivatives of the scale function $a(t)$ are $analytically$ derived, but as functions of $z$, without making assumptions about of gravity or the contents of the universe. This gives, e.g. the redshift value at which the universe goes over from deceleration to acceleration, as $z_t=0.54\pm 0.04$ for a flat universe. In the update, we switch to a more modern fit criterion and also take into account the uncertainty in the calibration of the SNIa luminosities. If a theory of gravity $is$ assumed, our results allow determination of the density of the universe as function of $z$, from which conclusions about the contents of the universe can be drawn. We update the previous work's result where this was done for Einstein gravity, finding a lower-limit on the dark energy fraction, ${\Omega }_{DE}>0.46$; and here we do this also for Starobinsky gravity, where we can find a Starobinsky parameter that can eliminate the need for dark energy.

23 pages, 12 figures, 5 tables. The authors promise to keep an expanded and continuously updated version of table 4 (calculations of the transition redshift in the literature) online for as long as possible and reasonable

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Cited by in corpus (14)

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• Model independent bounds on Type Ia supernova absolute peak magnitude
• $H_0$ Tension in Torsion-based Modified Gravity
• Transit String Dark Energy Models in $f(Q)$ Gravity
• Dark Energy Nature in Logarithmic $f(R,T)$ Cosmology
• Analytical Gaussian Process Cosmography: Unveiling Insights into Matter-Energy Density Parameter at Present
• Revisiting the epoch of cosmic acceleration
• Minimal model dependent constraints on cosmological nuisance parameters and cosmic curvature from combinations of cosmological data
• Constraints on the speed of sound in the k-essence model of dark energy
• Cosmic curvature on large-scale structures with homogeneous dark energy
• Sparse formulae for the distance modulus in cosmology
• Analysis of Pantheon+ supernova data suggests evidence of sign-changing pressure of the cosmological fluid