Bouncing Cosmology in Fourth-Order Gravity

The Big Bang initial singularity problem can be solved by means of bouncing solutions. In the context of extended theories of gravity, we will look for covariant effective actions whose field equations contain up to fourth-order derivatives of the metric tensor. In finding such bouncing solutions, w...

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Main Authors: Marcello Miranda, Daniele Vernieri, Salvatore Capozziello, Francisco S. N. Lobo
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/8/3/161
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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
collection DOAJ
description The Big Bang initial singularity problem can be solved by means of bouncing solutions. In the context of extended theories of gravity, we will look for covariant effective actions whose field equations contain up to fourth-order derivatives of the metric tensor. In finding such bouncing solutions, we will make use of an order reduction technique based on a perturbative approach. Reducing the order of the field equations to second-order, we are able to find solutions which are perturbatively close to General Relativity. We will build the covariant effective actions of the resulting order reduced theories.
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spelling doaj.art-fb0be079df1b4779b18d1922b4c0ecd02023-11-30T22:40:38ZengMDPI AGUniverse2218-19972022-03-018316110.3390/universe8030161Bouncing Cosmology in Fourth-Order GravityMarcello Miranda0Daniele Vernieri1Salvatore Capozziello2Francisco S. N. Lobo3Scuola Superiore Meridionale, Largo San Marcellino 10, 80138 Napoli, ItalyINFN Sez. di Napoli, Complesso Universitario di Monte Sant’Angelo, Edificio G, Via Cinthia, 80126 Napoli, ItalyScuola Superiore Meridionale, Largo San Marcellino 10, 80138 Napoli, ItalyInstituto de Astrofísica e Ciências do Espaco, Faculdade de Ciências da Universidade de Lisboa, Edifício C8, Campo Grande, 1749-016 Lisbon, PortugalThe Big Bang initial singularity problem can be solved by means of bouncing solutions. In the context of extended theories of gravity, we will look for covariant effective actions whose field equations contain up to fourth-order derivatives of the metric tensor. In finding such bouncing solutions, we will make use of an order reduction technique based on a perturbative approach. Reducing the order of the field equations to second-order, we are able to find solutions which are perturbatively close to General Relativity. We will build the covariant effective actions of the resulting order reduced theories.https://www.mdpi.com/2218-1997/8/3/161extended theories of gravitybouncing cosmologyorder reduction
spellingShingle Marcello Miranda
Daniele Vernieri
Salvatore Capozziello
Francisco S. N. Lobo
Bouncing Cosmology in Fourth-Order Gravity
Universe
extended theories of gravity
bouncing cosmology
order reduction
title Bouncing Cosmology in Fourth-Order Gravity
title_full Bouncing Cosmology in Fourth-Order Gravity
title_fullStr Bouncing Cosmology in Fourth-Order Gravity
title_full_unstemmed Bouncing Cosmology in Fourth-Order Gravity
title_short Bouncing Cosmology in Fourth-Order Gravity
title_sort bouncing cosmology in fourth order gravity
topic extended theories of gravity
bouncing cosmology
order reduction
url https://www.mdpi.com/2218-1997/8/3/161
work_keys_str_mv AT marcellomiranda bouncingcosmologyinfourthordergravity
AT danielevernieri bouncingcosmologyinfourthordergravity
AT salvatorecapozziello bouncingcosmologyinfourthordergravity
AT franciscosnlobo bouncingcosmologyinfourthordergravity