Investigating the relationship between cosmic curvature and dark energy models with the latest supernova sample

We investigate the relationship between cosmic curvature and model of dark energy (hereafter DE) with recent Type Ia supernovae (hereafter SNe Ia) data, i.e., the Pantheon sample including 1048 SNe Ia with 0.01 < z < 2.3. We obtain measurements of the dimensionless spatial curvature density today, i.e., ${\Omega }_{k0}=-{0.062}_{-0.169}^{+0.189},-{0.004}_{-0.134}^{+0.228},{0.127}_{-0.276}^{+0.280}$ and ${0.422}_{-0.338}^{+0.213}$ at 68% confidence level (CL), respectively, in the scenarios of ΛCDM, ϕCDM (i.e., scalar field DE), ωCDM and ω ₀ ω_aCDM models. In the scenario of ΛCDM model, a closed universe is preferred by the Pantheon sample, which is consistent with that from the Planck CMB spectra. However, the uncertainty of Ω_k0 from the Pantheon SNe sample is about 8 times larger than that from the Planck data, so the former one supports a closed universe at a much lower CL than that from the latter one. An open unverse is supported by the Pantheon sample at ∼32% and ∼78% CLs, respectively, in the ωCDM and ω ₀ ω _aCDM models. Among these models, the ϕCDM model is the one which supports the flat universe most strongly. It shows that Ω_k0 is significantly dependent on the adopted model of DE, and there is a negative correlation between Ω_k0 and the equation of state of DE. (paper)