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

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Wilson-Ewing,  Edward
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1703.10812.pdf
(Preprint), 279KB

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Citation

Liu, H., Noui, K., Wilson-Ewing, E., & Langlois, D. (2017). Effective loop quantum cosmology as a higher-derivative scalar-tensor theory. Classical and Quantum Gravity, 34(22): 225004. doi:10.1088/1361-6382/aa8f2f.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-211C-0
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.