2018
DOI: 10.3390/particles1010003
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Limits on the Reconstruction of a Single Dark Energy Scalar Field Potential from SNe Ia Data

Abstract: In this paper we perform a reconstruction of the scalar field potential responsible for cosmic acceleration using SNe Ia data. After describing the method, we test it with real SNe Ia data-Union2.1 and JLA SNe datasets. We demonstrate that with the current data precision level, the full reconstruction is not possible. We discuss the problems which arise during the reconstruction process and the ways to overcome them.

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Cited by 13 publications
(3 citation statements)
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“…Te transition redshift determined in [146] and in [147] from the "Supernova Legacy Survey (SNLS)" is z t ∼ 0.6 (1; σ), which is more consistent with the fat Λ CDM model (z t � (2Ω Λ /Ω m ) 1/3 − 1 ∼ 0.66, joint analysis) [148] is an extra limitation. In addition, the transition redshift we determined for our model is z t ≈ 0.752,1.758 for two observed data sets (see Figure 5), which is in good agreement with the Hubble diagram of SNe Ia, including the SNI997f at z t ≈ 1.7 [123,149]. Tis fnding suggests in a roundabout way that the history of cosmic expansion can be revised using the transition redshift.…”
supporting
confidence: 83%
“…Te transition redshift determined in [146] and in [147] from the "Supernova Legacy Survey (SNLS)" is z t ∼ 0.6 (1; σ), which is more consistent with the fat Λ CDM model (z t � (2Ω Λ /Ω m ) 1/3 − 1 ∼ 0.66, joint analysis) [148] is an extra limitation. In addition, the transition redshift we determined for our model is z t ≈ 0.752,1.758 for two observed data sets (see Figure 5), which is in good agreement with the Hubble diagram of SNe Ia, including the SNI997f at z t ≈ 1.7 [123,149]. Tis fnding suggests in a roundabout way that the history of cosmic expansion can be revised using the transition redshift.…”
supporting
confidence: 83%
“…With the GP method, one can reconstruct a general function of the model directly from data, without the need of a particular parameterization for it. The reconstruction of a DE scalar field potential was done in [36,37] and limits from SNe Ia data was obtained recently by [38]. There are several other recent analysis of cosmological parameters reconstructed through GP method.…”
Section: Jcap11(2022)037mentioning
confidence: 99%
“…A line of approach is the reconstruction of the scalar field potential in a manner consistent with the SNe Ia data. The article by A. Piloyan et al [12] suggests a method of reconstruction of this potential and concludes that the accuracy of the current data is insufficient for such a reconstruction.…”
mentioning
confidence: 99%