Defying the laws of Gravity I: model-independent reconstruction of the Universe expansion from growth data

Abstract

Using redshift space distortion data, we perform model-independent reconstructions of the growth history of matter inhomogeneity in the expanding Universe using two methods: crossing statistics and Gaussian processes. We then reconstruct the corresponding history of the Universe background expansion and fit it to type Ia supernovae data, putting constraints on $({\Omega }_{\mathrm{m},0},{\sigma }_{8,0})$. The results obtained are consistent with the concordance flat-$\Lambda$CDM model and General Relativity as the gravity theory given the current quality of the inhomogeneity growth data.

8 pages, 7 figures. v3: match published version

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