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Recently, Chamseddine and Mukhanov introduced a higher-derivativescalar-tensor theory which leads to a modified Friedmann equation allowing forbouncing solutions. As we note in the present work, this Friedmann equationturns out to reproduce exactly the loop quantum cosmology effective dynamicsfor a flat isotropic and homogeneous space-time. We generalize this result toobtain a class of scalar-tensor theories, belonging to the family of mimeticgravity, which all reproduce the loop quantum cosmology effective dynamics forflat, closed and open isotropic and homogeneous space-times.

Effective loop quantum cosmology as a higher-derivative scalar-tensor theory