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General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
Abstract:
Recently, Chamseddine and Mukhanov introduced a higher-derivative
scalar-tensor theory which leads to a modified Friedmann equation allowing for
bouncing solutions. As we note in the present work, this Friedmann equation
turns out to reproduce exactly the loop quantum cosmology effective dynamics
for a flat isotropic and homogeneous space-time. We generalize this result to
obtain a class of scalar-tensor theories, belonging to the family of mimetic
gravity, which all reproduce the loop quantum cosmology effective dynamics for
flat, closed and open isotropic and homogeneous space-times.
