A model independent null test on the cosmological constant

We use the Om statistic and the Genetic Algorithms (GA) in order to derive a null test on the spatially flat cosmological constant model $Λ$CDM. This is done in two steps: first, we apply the GA to the Constitution SNIa data in order to acquire a model independent reconstruction of the expansion history of the Universe $H(z)$ and second, we use the reconstructed $H(z)$ in conjunction with the Om statistic, which is constant only for the $Λ$CDM model, to derive our constraints. We find that while $Λ$CDM is consistent with the data at the $2σ$ level, some deviations from $Λ$CDM model at low redshifts can be accommodated.

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