Maxwell extension of f(R) gravity

Oktay Cebecioğlu; Ahmet Saban; Salih Kibaroğlu

doi:10.1140/epjc/s10052-023-11185-8

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 95
https://doi.org/10.1140/epjc/s10052-023-11185-8

Regular Article - Theoretical Physics

Maxwell extension of f(R) gravity

Oktay Cebecioğlu¹^a, Ahmet Saban¹ and Salih Kibaroğlu²^,3

¹ Department of Physics, Kocaeli University, 41380, Kocaeli, Turkey
² Department of Basic Sciences, Faculty of Engineering and Natural Sciences, Maltepe University, 34857, Istanbul, Turkey
³ Institute of Space Sciences (CSIC-IEEC), C. Can Magrans s/n, 08193, Barcelona, Cerdanyola, Spain

^a ocebecioglu@kocaeli.edu.tr

Received: 21 October 2022
Accepted: 27 December 2022
Published online: 31 January 2023

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 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.

© The Author(s) 2023

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