Probing the cosmic acceleration history and the properties of dark energy from the ESSENCE supernova data with a model independent method
Puxun Wu, Hongwei Yu

TL;DR
This paper uses a model-independent approach to reconstruct the universe's expansion history, deceleration parameter, and dark energy equation of state from supernova data, providing insights into cosmic acceleration.
Contribution
It introduces a direct, model-independent method to analyze supernova data for reconstructing key cosmological parameters, including dark energy properties.
Findings
Reconstructed $q(z)$ and $w(z)$ suggest weaker evolution than Gold set but stronger than SNLS set.
Tight constraints on $oxed{ ext{Ω}_ ext{m0}}$ consistent with other data sets.
Reconstruction results are robust when combining supernova and BAO data.
Abstract
With a model independent method the expansion history , the deceleration parameter of the universe and the equation of state for the dark energy are reconstructed directly from the 192 Sne Ia data points, which contain the new ESSENCE Sne Ia data and the high redshift Sne Ia data. We find that the evolving properties of and reconstructed from the 192 Sne Ia data seem to be weaker than that obtained from the Gold set, but stronger than that from the SNLS set. With a combination of the 192 Sne Ia and BAO data, a tight constraint on is obtained. At the confidence level , which is highly consistent with that from the Gold+BAO and SNLS+BAO.
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