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arXiv · 2210.09454

Maxwell extension of $f(R)$ gravity

Oktay Cebecioğlu·Ahmet Saban·Salih Kibaroğlu
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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 $B^{ab}$ 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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Oktay Cebecioğlu, Ahmet Saban, Salih Kibaroğlu. 2022-10-17. Maxwell extension of $f(R)$ gravity. https://doi.org/10.1140/epjc/s10052-023-11185-8

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