Effective actions for loop quantum cosmology in fourth-order gravity

Abstract Loop quantum cosmology (LQC) is a theory which renders the Big Bang initial singularity into a quantum bounce, by means of short-range repulsive quantum effects at the Planck scale. In this work, we are interested in reproducing the effective Friedmann equation of LQC, by considering a gene...

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Autores principales:	Marcello Miranda, Daniele Vernieri, Salvatore Capozziello, Francisco S. N. Lobo
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/a875164dda754fb0bcce489f7bb5fb6f
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spelling	oai:doaj.org-article:a875164dda754fb0bcce489f7bb5fb6f2021-11-07T12:23:30ZEffective actions for loop quantum cosmology in fourth-order gravity10.1140/epjc/s10052-021-09767-51434-60441434-6052https://doaj.org/article/a875164dda754fb0bcce489f7bb5fb6f2021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09767-5https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract Loop quantum cosmology (LQC) is a theory which renders the Big Bang initial singularity into a quantum bounce, by means of short-range repulsive quantum effects at the Planck scale. In this work, we are interested in reproducing the effective Friedmann equation of LQC, by considering a generic f(R, P, Q) theory of gravity, where $$R=g^{\mu \nu }R_{\mu \nu }$$ R = g μ ν R μ ν is the Ricci scalar, $$P=R_{\mu \nu }R^{\mu \nu }$$ P = R μ ν R μ ν , and $$Q=R_{\alpha \beta \mu \nu }R^{\alpha \beta \mu \nu }$$ Q = R α β μ ν R α β μ ν is the Kretschmann scalar. An order reduction technique allows us to work in f(R, P, Q) theories which are perturbatively close to General Relativity, and to deduce a modified Friedmann equation in the reduced theory. Requiring that the modified Friedmann equation mimics the effective Friedmann equation of LQC, we are able to derive several functional forms of f(R, P, Q). We discuss the necessary conditions to obtain viable bouncing cosmologies for the proposed effective actions of f(R, P, Q) theory of gravity.Marcello MirandaDaniele VernieriSalvatore CapozzielloFrancisco S. N. LoboSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-15 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Marcello Miranda Daniele Vernieri Salvatore Capozziello Francisco S. N. Lobo Effective actions for loop quantum cosmology in fourth-order gravity
description	Abstract Loop quantum cosmology (LQC) is a theory which renders the Big Bang initial singularity into a quantum bounce, by means of short-range repulsive quantum effects at the Planck scale. In this work, we are interested in reproducing the effective Friedmann equation of LQC, by considering a generic f(R, P, Q) theory of gravity, where $$R=g^{\mu \nu }R_{\mu \nu }$$ R = g μ ν R μ ν is the Ricci scalar, $$P=R_{\mu \nu }R^{\mu \nu }$$ P = R μ ν R μ ν , and $$Q=R_{\alpha \beta \mu \nu }R^{\alpha \beta \mu \nu }$$ Q = R α β μ ν R α β μ ν is the Kretschmann scalar. An order reduction technique allows us to work in f(R, P, Q) theories which are perturbatively close to General Relativity, and to deduce a modified Friedmann equation in the reduced theory. Requiring that the modified Friedmann equation mimics the effective Friedmann equation of LQC, we are able to derive several functional forms of f(R, P, Q). We discuss the necessary conditions to obtain viable bouncing cosmologies for the proposed effective actions of f(R, P, Q) theory of gravity.
format	article
author	Marcello Miranda Daniele Vernieri Salvatore Capozziello Francisco S. N. Lobo
author_facet	Marcello Miranda Daniele Vernieri Salvatore Capozziello Francisco S. N. Lobo
author_sort	Marcello Miranda
title	Effective actions for loop quantum cosmology in fourth-order gravity
title_short	Effective actions for loop quantum cosmology in fourth-order gravity
title_full	Effective actions for loop quantum cosmology in fourth-order gravity
title_fullStr	Effective actions for loop quantum cosmology in fourth-order gravity
title_full_unstemmed	Effective actions for loop quantum cosmology in fourth-order gravity
title_sort	effective actions for loop quantum cosmology in fourth-order gravity
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/a875164dda754fb0bcce489f7bb5fb6f
work_keys_str_mv	AT marcellomiranda effectiveactionsforloopquantumcosmologyinfourthordergravity AT danielevernieri effectiveactionsforloopquantumcosmologyinfourthordergravity AT salvatorecapozziello effectiveactionsforloopquantumcosmologyinfourthordergravity AT franciscosnlobo effectiveactionsforloopquantumcosmologyinfourthordergravity
_version_	1718443507757088768

Effective actions for loop quantum cosmology in fourth-order gravity

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