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Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity
We develop a Gauss-Bonnet extension of Loop Quantum Cosmology, by introducing
holonomy corrections in modified theories of gravity. Within
the context of our formalism, we provide a perturbative expansion in the
critical density, a parameter characteristic of Loop Quantum Gravity theories,
and we result in having leading order corrections to the classical
theories of gravity. After extensively discussing the
formalism, we present a reconstruction method that makes possible to find the
Loop Quantum Cosmology corrected theory that can realize
various cosmological scenarios. Specifically, we studied exponential and
power-law bouncing cosmologies, emphasizing on the behavior near the bouncing
point and in some cases, the behavior for all the values of the cosmic time is
obtained. We exemplify our theoretical constructions by using bouncing
cosmologies, and we investigate which Loop Quantum Cosmology corrected
Gauss-Bonnet modified gravities can successfully realize such cosmologies.Comment: Revised version, to appear in PR
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