Tracing the equation of state and the density of cosmological constant along z

Abstract

We investigate the equation of state w(z) in a non-parametric form using the latest compilations of distance luminosity from SNe Ia at high z. We combine the inverse problem approach with a Monte Carlo to scan the space of priors. On the light of these high redshift supernova data sets, we reconstruct w(z). A comparison between a sample including the latest results at z>1 and a sample without those results show the improvement achieved by observations of very high z supernovae. We present the prospects to measure the variation of dark energy density along z by this method.

13 pages, 6 figures

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• Probing the constancy of the speed of light with future galaxy survey: the case of SKA and Euclid
• Cosmic expansion history from SNe Ia data via information field theory -- the charm code