Maxwell extension of f(R) gravity

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Cebecioğlu O., Saban A., Kibaroğlu S.

EUROPEAN PHYSICAL JOURNAL C, vol.83, pp.95-103, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 83
  • Publication Date: 2023
  • Doi Number: 10.1140/epjc/s10052-023-11185-8
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, INSPEC, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.95-103
  • Kocaeli University Affiliated: Yes


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.