Kinematic constraints on spatial curvature from Supernovae Ia and Hubble parameter data. (arXiv:1907.01033v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Jesus_J/0/1/0/all/0/1">J. F. Jesus</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Valentim_R/0/1/0/all/0/1">R. Valentim</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Moraes_P/0/1/0/all/0/1">P. H. R. S. Moraes</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Malheiro_M/0/1/0/all/0/1">M. Malheiro</a>
We suggest a model independent approach to estimate the spatial curvature of We suggest a model independent approach to estimate the spatial curvature of http://arxiv.org/icons/sfx.gif
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
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.
