Cosmological reconstruction and $$\Lambda $$ Λ CDM universe in $$f(Q,\,C)$$ f ( Q , C ) gravity

Abstract Symmetric Teleparallel Gravity allows for the reformulation of gravity in the form of nonmetricity by vanishing the contorsion term in the generic affine connection. Our focus is on investigating a recently proposed extension of this theory in which the Lagrangian has the form f(Q, C) by in...

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Main Authors: Gaurav N. Gadbail, Avik De, P. K. Sahoo
Format: Article
Language:English
Published: SpringerOpen 2023-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-12288-y
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author Gaurav N. Gadbail
Avik De
P. K. Sahoo
author_facet Gaurav N. Gadbail
Avik De
P. K. Sahoo
author_sort Gaurav N. Gadbail
collection DOAJ
description Abstract Symmetric Teleparallel Gravity allows for the reformulation of gravity in the form of nonmetricity by vanishing the contorsion term in the generic affine connection. Our focus is on investigating a recently proposed extension of this theory in which the Lagrangian has the form f(Q, C) by incorporating the boundary term C. In this work, we first use a reconstruction approach in f(Q, C) gravity that might admit the $$\Lambda $$ Λ CDM expansion history. Furthermore, we perform a novel approach for cosmological reconstruction of f(Q, C) gravity in terms of e-folding, and it shows how any FLRW cosmology can arise from a specific f(Q, C) gravity. A variety of instances are provided using this approach in which f(Q, C) gravity is reconstructed to yield the well-known cosmic evolution: $$\Lambda $$ Λ CDM era, acceleration/deceleration era which is equivalent to the presence of phantom and non-phantom matter, late-time acceleration with the crossing of phantom-divide line and transient phantom era.
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spelling doaj.art-8277bbaff1644706addae6c6a029e8f42024-03-31T11:31:04ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-12-0183121910.1140/epjc/s10052-023-12288-yCosmological reconstruction and $$\Lambda $$ Λ CDM universe in $$f(Q,\,C)$$ f ( Q , C ) gravityGaurav N. Gadbail0Avik De1P. K. Sahoo2Department of Mathematics, Birla Institute of Technology and Science-PilaniDepartment of Mathematical and Actuarial Sciences, Universiti Tunku Abdul RahmanDepartment of Mathematics, Birla Institute of Technology and Science-PilaniAbstract Symmetric Teleparallel Gravity allows for the reformulation of gravity in the form of nonmetricity by vanishing the contorsion term in the generic affine connection. Our focus is on investigating a recently proposed extension of this theory in which the Lagrangian has the form f(Q, C) by incorporating the boundary term C. In this work, we first use a reconstruction approach in f(Q, C) gravity that might admit the $$\Lambda $$ Λ CDM expansion history. Furthermore, we perform a novel approach for cosmological reconstruction of f(Q, C) gravity in terms of e-folding, and it shows how any FLRW cosmology can arise from a specific f(Q, C) gravity. A variety of instances are provided using this approach in which f(Q, C) gravity is reconstructed to yield the well-known cosmic evolution: $$\Lambda $$ Λ CDM era, acceleration/deceleration era which is equivalent to the presence of phantom and non-phantom matter, late-time acceleration with the crossing of phantom-divide line and transient phantom era.https://doi.org/10.1140/epjc/s10052-023-12288-y
spellingShingle Gaurav N. Gadbail
Avik De
P. K. Sahoo
Cosmological reconstruction and $$\Lambda $$ Λ CDM universe in $$f(Q,\,C)$$ f ( Q , C ) gravity
European Physical Journal C: Particles and Fields
title Cosmological reconstruction and $$\Lambda $$ Λ CDM universe in $$f(Q,\,C)$$ f ( Q , C ) gravity
title_full Cosmological reconstruction and $$\Lambda $$ Λ CDM universe in $$f(Q,\,C)$$ f ( Q , C ) gravity
title_fullStr Cosmological reconstruction and $$\Lambda $$ Λ CDM universe in $$f(Q,\,C)$$ f ( Q , C ) gravity
title_full_unstemmed Cosmological reconstruction and $$\Lambda $$ Λ CDM universe in $$f(Q,\,C)$$ f ( Q , C ) gravity
title_short Cosmological reconstruction and $$\Lambda $$ Λ CDM universe in $$f(Q,\,C)$$ f ( Q , C ) gravity
title_sort cosmological reconstruction and lambda λ cdm universe in f q c f q c gravity
url https://doi.org/10.1140/epjc/s10052-023-12288-y
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