http://arxiv.org/abs/1907.01033
We suggest a model independent approach to estimate the spatial curvature of the Universe. We use three kinematic parametrizations: a third degree polynomial on $z$ for comoving distance $D_{C}(z)$, a second degree polynomial on $z$ for Hubble parameter $H(z)$ and a first order polynomial expansion on $z$ for the deceleration parameter $q(z)$. We used as SNe Ia dataset, the Pantheon compilation, consisting on 1048 estimates of SNe apparent magnitudes in the range $0.01<z<2.3$, with statistical and systematic errors and we have considered the measurements of the Hubble parameter $H(z)$ in different redshifts with 51 observed data. We have found for the model-independent spatial curvature, for comoving distance ($D_{C}$), $\Omega_{k}=0.11^{+0.21+0.48}{-0.24-0.44}$, for $H(z)$ parametrization, $\Omega{k}=-0.03^{+0.21+0.46}{-0.24-0.45}$ and for $q(z)$, $\Omega{k}=-0.05^{+0.21+0.48}_{-0.25-0.45}$. The results are compatible with each other, confirming their model independent nature, and are consistent with an spatially flat Universe, as predicted by most inflation models and estimated by Cosmic Microwave Background (CMB) data.
J. Jesus, R. Valentim, P. Moraes, et. al.
Wed, 3 Jul 19
13/58
Comments: 25 pages, 8 figures
You must be logged in to post a comment.