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29 March 2024
 
  » arxiv » 1509.6283

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Null test of the cosmic curvature using $H(z)$ and supernovae data
Rong-Gen Cai ; Zong-Kuan Guo ; Tao Yang ;
Date 21 Sep 2015
AbstractWe introduce a model-independent approach to the null test of the cosmic curvature which is geometrically related to the Hubble parameter $H(z)$ and luminosity distance $d_L(z)$. Combining the independent observations of $H(z)$ and $d_L(z)$, we use the model-independent smoothing technique, Gaussian processes, to reconstruct them and determine the cosmic curvature $Omega_K^{(0)}$ in the null test relation. The null test is totally geometrical and without assuming any cosmological model. We show that the cosmic curvature $Omega_K^{(0)}=0$ is consistent with current observational data sets, falling within the $1sigma$ limit. To demonstrate the effect on the precision of the null test, we produce a series of simulated data of the models with different $Omega_K^{(0)}$. Future observations in better quality can provide a greater improvement to constrain or refute the flat universe with $Omega_K^{(0)}=0$.
Source arXiv, 1509.6283
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