A Non-Polynomial Gravity Formulation for Loop Quantum Cosmology Bounce

Chinaglia, Stefano; Colléaux, Aimeric; Zerbini, Sergio

doi:10.3390/galaxies5030051

Cited by 16 publications

(12 citation statements)

References 57 publications

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“…[18,19]. The relevance of mimetic models stems from the fact that if one wants to work in D = 4, and dealing with second order differential equations on FLRW space-time, one may use Horndeski model [20], mimetic gravitational models [21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38], DOHST models [39,40], or Non Polynomial Gravity models [41,42]. In this brief review, by means of the Lagrangian mini-superspace approach within the non flat FLRW space-times in Eq.…”

Section: Extended Mimetic Gravitational Modelmentioning

confidence: 99%

A note on non singular Einstein-Aether cosmologies

Casalino,

Sebastiani,

Zerbini

2020

Preprint

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An effective Lagrangian approach based on an extended Einstein-Aether (EA) model is presented and formulated in a generic non flat Fridman-Lemaitre-Robertson-Walker (FLRW) space-time. For a flat FLRW space-time, a Friedmann equation similar to the one obtained in Quantum Loop Cosmology (QLC) is reproduced, with related non singular bounce solution. Finally, the Static Spherically Symmetric (SSS) solutions are investigated.

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Section: Extended Mimetic Gravitational Modelmentioning

confidence: 99%

A note on non singular Einstein-Aether cosmologies

Casalino,

Sebastiani,

Zerbini

2020

Preprint

Self Cite

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“…If we want to work in D = 4, preserving the GR property of having second order differential equations in the FLRW space-time, we might consider the so called Horndeski models [13], Horndeski mimetic models [14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31], DOHST models [32,33], or Non Polynomial Gravity models [34,35]. In this Section we present the issue associated with the dS solution for some mimetic models.…”

Section: Mimetic Modelsmentioning

confidence: 99%

“…Consider another example for any k, which generalizes the model firstly considered in Refs. [34,35] for k = 0. The model is defined by the action…”

Section: Other Non-polynomial Gravity Modelsmentioning

confidence: 99%

Higher derivative and mimetic models on non flat FLRW space-times

Casalino¹,

Sebastiani²,

Vanzo³

et al. 2019

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An effective Lagrangian approach, partly inspired by Quantum Loop Cosmology (QLC), is presented and formulated in a non flat FLRW space-times, making use of modified gravitational models. The models considered are non generic, and their choice is dictated by the necessity to have at least second order differential equations of motion in a non flat FLRW space-time. This is accomplished by a class of Lagrangian which are not analytic in the curvature invariants, or making use of a mimetic gravitational scalar field. It is shown that, for some effective models, the associated generalized Friedmann equation, in general, may admit non singular metrics as solutions, while the de Sitter space-time is present only for a restricted class, which includes General Relativity and Lovelock gravity. The other models admit pseudo de Sitter solutions, namely FLRW metrics, such that for vanishing spatial curvature looks like flat de Sitter patch, but for non vanishing spatial curvature are regular bounce metrics or, when the spatial curvature is negative, Big-Bang singular metrics.

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“…In Quantum Loop Cosmology (QLC) an effective modified Friedman equation has been obtained and the solution in a flat Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime admits the cosmological bounce [6,7,8,9,10,11].…”

Section: Introductionmentioning

confidence: 99%

Bounce Models within Teleparallel modified gravity

Casalino,

Sanna,

Sebastiani

et al. 2020

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In this paper, working in a Friedman-Lemaitre-Robertson-Walker (FLRW), first, in the flat case, we recover the generalized Friedman equation of Quantum Loop cosmology, and therefore the cosmological bounce, in the framework of modified teleparallel gravity f (T )model, T being the torsion scalar introduced in teleparallel gravity approach, without invoking unconventional exotic matter. Furthermore we study the associated perturbations again in a flat FLRW space-time. Then, we generalize the results to the curved FLRW space-time, where some issues related to the choice of tetrad exist, by using an appropriate formulation. In this context, the results of Born-Infeld model are also investigated.

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A Non-Polynomial Gravity Formulation for Loop Quantum Cosmology Bounce

Cited by 16 publications

References 57 publications

A note on non singular Einstein-Aether cosmologies

A note on non singular Einstein-Aether cosmologies

Higher derivative and mimetic models on non flat FLRW space-times

Bounce Models within Teleparallel modified gravity

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