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Limiting curvature mimetic gravity and its relation to loop quantum cosmology. (English) Zbl 1419.83029
Summary: Considering as usual that the underlying geometry of our universe is well described by the spatially flat Friedmann-Lemaître-Robertson-Walker line element, we review how the background of holonomy corrected loop quantum cosmology (LQC) could be obtained as a simple modified version of the mimetic gravity. We also analyze the scalar and tensor perturbations of this modified mimetic model, from which we find that at the level of tensor perturbations it is indistinguishable from General Relativity while at the level of scalar perturbations, the modified mimetic model, which has the same background as LQC, does not exhibit the same properties as LQC in the so-called deformed algebra approach.
83C45 Quantization of the gravitational field
83F05 Cosmology
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C25 Approximation procedures, weak fields in general relativity and gravitational theory
NP; NPspinor
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