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Galaxies 2017, 5(3), 51; doi:10.3390/galaxies5030051

A Non-Polynomial Gravity Formulation for Loop Quantum Cosmology Bounce

Department of Physics, Trento University and TIPFA-INFN, Via Sommarive, 14-38123 Trento, Italy
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Academic Editor: Emilio Elizalde
Received: 2 August 2017 / Revised: 1 September 2017 / Accepted: 5 September 2017 / Published: 7 September 2017
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Abstract

Recently the so-called mimetic gravity approach has been used to obtain corrections to the Friedmann equation of General Relativity similar to the ones present in loop quantum cosmology. In this paper, we propose an alternative way to derive this modified Friedmann equation via the so-called non-polynomial gravity approach, which consists of adding geometric non-polynomial higher derivative terms to Hilbert–Einstein action, which are nonetheless polynomials and lead to a second-order differential equation in Friedmann–Lemaître–Robertson–Walker space-times. Our explicit action turns out to be a realization of the Helling proposal of effective action with an infinite number of terms. The model is also investigated in the presence of a non-vanishing cosmological constant, and a new exact bounce solution is found and studied. View Full-Text
Keywords: cosmological bounces; non-polynomial gravity; effective action; second-order equations of motion; metric formalism; cosmological constant; perfect fluid; exact regular solutions cosmological bounces; non-polynomial gravity; effective action; second-order equations of motion; metric formalism; cosmological constant; perfect fluid; exact regular solutions
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Chinaglia, S.; Colléaux, A.; Zerbini, S. A Non-Polynomial Gravity Formulation for Loop Quantum Cosmology Bounce. Galaxies 2017, 5, 51.

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