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

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.
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David Langlois, Hongguang Liu, Karim Noui, Edward Wilson-Ewing. Effective loop quantum cosmology as a higher-derivative scalar-tensor theory. Class.Quant.Grav., 2017, 34 (22), pp.225004. ⟨10.1088/1361-6382/aa8f2f⟩. ⟨hal-01645529⟩

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