Maxwell extension of f(R) gravity

Abstract Inspired by the Maxwell symmetry generalization of general relativity (Maxwell gravity), we have constructed the Maxwell extension of f(R) gravity. We found that the semi-simple extension of the Poincare symmetry allows us to introduce geometrically a cosmological constant term in four-dime...

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Main Authors: Oktay Cebecioğlu, Ahmet Saban, Salih Kibaroğlu
Format: Article
Language:English
Published: SpringerOpen 2023-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11185-8
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author Oktay Cebecioğlu
Ahmet Saban
Salih Kibaroğlu
author_facet Oktay Cebecioğlu
Ahmet Saban
Salih Kibaroğlu
author_sort Oktay Cebecioğlu
collection DOAJ
description Abstract Inspired by the Maxwell symmetry generalization of general relativity (Maxwell gravity), we have constructed the Maxwell extension of f(R) gravity. We found that the semi-simple extension of the Poincare symmetry allows us to introduce geometrically a cosmological constant term in four-dimensional f(R) gravity. This symmetry also allows the introduction of a non-vanishing torsion to the Maxwell f(R) theory. It is found that the antisymmetric gauge field $$B^{ab}$$ B ab associated with Maxwell extension is considered as a source of the torsion. It is also found that the gravitational equation of motion acquires a new term in the form of an energy–momentum tensor for the background field. The importance of these new equations is briefly discussed.
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spelling doaj.art-2169ef9b0587431589b9f7fd16de55312023-03-22T12:10:06ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-01-018311710.1140/epjc/s10052-023-11185-8Maxwell extension of f(R) gravityOktay Cebecioğlu0Ahmet Saban1Salih Kibaroğlu2Department of Physics, Kocaeli UniversityDepartment of Physics, Kocaeli UniversityDepartment of Basic Sciences, Faculty of Engineering and Natural Sciences, Maltepe UniversityAbstract Inspired by the Maxwell symmetry generalization of general relativity (Maxwell gravity), we have constructed the Maxwell extension of f(R) gravity. We found that the semi-simple extension of the Poincare symmetry allows us to introduce geometrically a cosmological constant term in four-dimensional f(R) gravity. This symmetry also allows the introduction of a non-vanishing torsion to the Maxwell f(R) theory. It is found that the antisymmetric gauge field $$B^{ab}$$ B ab associated with Maxwell extension is considered as a source of the torsion. It is also found that the gravitational equation of motion acquires a new term in the form of an energy–momentum tensor for the background field. The importance of these new equations is briefly discussed.https://doi.org/10.1140/epjc/s10052-023-11185-8
spellingShingle Oktay Cebecioğlu
Ahmet Saban
Salih Kibaroğlu
Maxwell extension of f(R) gravity
European Physical Journal C: Particles and Fields
title Maxwell extension of f(R) gravity
title_full Maxwell extension of f(R) gravity
title_fullStr Maxwell extension of f(R) gravity
title_full_unstemmed Maxwell extension of f(R) gravity
title_short Maxwell extension of f(R) gravity
title_sort maxwell extension of f r gravity
url https://doi.org/10.1140/epjc/s10052-023-11185-8
work_keys_str_mv AT oktaycebecioglu maxwellextensionoffrgravity
AT ahmetsaban maxwellextensionoffrgravity
AT salihkibaroglu maxwellextensionoffrgravity