Energy conditions in Gauss–Bonnet gravity

Abstract We study the Energy Conditions in modified $$f(\mathcal {G})$$ f ( G ) gravity, with $$\mathcal {G}$$ G being the topological Gauss–Bonnet term. Then we use the cosmographic parameters to constrain the functional form of the gravitational action and investigate the possibility to have stand...

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Main Author: Francesco Bajardi
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13673-x
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author Francesco Bajardi
author_facet Francesco Bajardi
author_sort Francesco Bajardi
collection DOAJ
description Abstract We study the Energy Conditions in modified $$f(\mathcal {G})$$ f ( G ) gravity, with $$\mathcal {G}$$ G being the topological Gauss–Bonnet term. Then we use the cosmographic parameters to constrain the functional form of the gravitational action and investigate the possibility to have standard inflation in the early time. Specifically, we select models containing symmetries within the modified $$f(\mathcal {G})$$ f ( G ) theory and obtain conditions for which (i) the energy conditions can be violated and (ii) the magnitude of the slow-roll parameters is small, thus suggesting that under given limits the analyzed theory can potentially trace the cosmic history both at early and at the late times.
format Article
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institution Kabale University
issn 1434-6052
language English
publishDate 2024-12-01
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record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-ac311cb71f3e4784938ea82f16720d922025-02-02T12:39:44ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211310.1140/epjc/s10052-024-13673-xEnergy conditions in Gauss–Bonnet gravityFrancesco Bajardi0Scuola Superiore MeridionaleAbstract We study the Energy Conditions in modified $$f(\mathcal {G})$$ f ( G ) gravity, with $$\mathcal {G}$$ G being the topological Gauss–Bonnet term. Then we use the cosmographic parameters to constrain the functional form of the gravitational action and investigate the possibility to have standard inflation in the early time. Specifically, we select models containing symmetries within the modified $$f(\mathcal {G})$$ f ( G ) theory and obtain conditions for which (i) the energy conditions can be violated and (ii) the magnitude of the slow-roll parameters is small, thus suggesting that under given limits the analyzed theory can potentially trace the cosmic history both at early and at the late times.https://doi.org/10.1140/epjc/s10052-024-13673-x
spellingShingle Francesco Bajardi
Energy conditions in Gauss–Bonnet gravity
European Physical Journal C: Particles and Fields
title Energy conditions in Gauss–Bonnet gravity
title_full Energy conditions in Gauss–Bonnet gravity
title_fullStr Energy conditions in Gauss–Bonnet gravity
title_full_unstemmed Energy conditions in Gauss–Bonnet gravity
title_short Energy conditions in Gauss–Bonnet gravity
title_sort energy conditions in gauss bonnet gravity
url https://doi.org/10.1140/epjc/s10052-024-13673-x
work_keys_str_mv AT francescobajardi energyconditionsingaussbonnetgravity