Speaker
Description
This work has an interesting approach to estimate the spatial curvature $\Omega_k$ from data independently of dynamical models is suggested, it was done through three kinematic parameterizations of the comoving distance ($D_{C}(z)$) with second degree polynomial, of the Hubble parameter ($H(z)$) with a second degree polynomial and of the deceleration parameter ($q(z)$) with first order polynomial. All these parameterizations are done as function of redshift $z$. We used SNe Ia dataset from Pantheon compilation with 1048 distance moduli estimated on the range $0.01<z<2.3$ with systematic and statistical errors and a compilation of 31 $H(z)$ data estimated from cosmic chronometers. The spatial curvature found for $D_C(z)$ parametrization was $\Omega_{k}=-0.49^{+0.14+0.29}_{-0.14-0.27}$. The parametrization for deceleration parameter $q(z)$ resulted in $\Omega_{k}=-0.08^{+0.21+0.54}_{-0.27-0.45}$. The $H(z)$ parametrization had incompatibilities between $H(z)$ and SNe Ia data, so these analyses were not combined. The $q(z)$ parametrization is compatible with the spatially flat Universe as predicted by many inflation models and data from CMB, while the $D_C(z)$ parametrization favored a slightly closed Universe. This type of analysis may be interesting as it avoids any bias because it does not depend on assumptions about the matter content for estimating $\Omega_k$.
