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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2023-01-01
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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. |
first_indexed | 2024-04-09T22:41:15Z |
format | Article |
id | doaj.art-2169ef9b0587431589b9f7fd16de5531 |
institution | Directory Open Access Journal |
issn | 1434-6052 |
language | English |
last_indexed | 2024-04-09T22:41:15Z |
publishDate | 2023-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | European Physical Journal C: Particles and Fields |
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 |