Abstract
We introduce a model-independent approach to the null test of the cosmic curvature, which is geometrically related to the Hubble parameter and luminosity distance . Combining the independent observations of and , we use the model-independent smoothing technique, Gaussian processes, to reconstruct them and determine the cosmic curvature in the null test relation. The null test is totally geometrical and does not assume any cosmological model. We show that the cosmic curvature is consistent with current observational data sets, falling within the limit. To demonstrate the effect on the precision of the null test, we produce a series of simulated data of the models with different . Future observations in better quality can provide a greater improvement to constrain or refute the flat universe with .
- Received 28 September 2015
DOI:https://doi.org/10.1103/PhysRevD.93.043517
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