DARC, Obs. de Meudon, F 92195 Meudon cedex, France

We consider a scalar tensor theory of gravity in which our universe is presently accelerating. We show how one can reconstruct the full theory - namely, the field potential and the functional form of the scalar-gravity coupling - along with the present density of dustlike matter using the following cosmological observations: luminosity distance data and linear dustlike matter density fluctuations data, both as functions of redshift.

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