Investigating the relationship between cosmic curvature and dark energy models with the latest supernova sample
Abstract
We investigate the relationship between the cosmic curvature and the model of dark energy (hereafter DE) with the 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 the measurements of the dimensionless spatial curvature density today, i.e., k0 = -0.062+0.189-0.169, -0.004+0.228-0.134, 0.127+0.280-0.276 and 0.422+0.213-0.338 at 68\% confidence level (CL), respectively, in the scenarios of , φCDM (i.e., scalar field dark energy), ωCDM and ω0ωaCDM models. In the scenario of model, a closed universe is preferred by the Pantheon sample, which is consistent with that from the Planck CMB spectra. However, the uncertainty of 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 ω0ωaCDM models. Among these models, the φCDM model is the one which supports the flat universe most strongly. It shows that k0 is significantly dependent on the adopted model of dark energy, and there is a negative correlation between k0 and the equation of state of DE.