Maxwell extension of gravity
arXiv:2210.09454 · doi:10.1140/epjc/s10052-023-11185-8
Abstract
Inspired by the Maxwell symmetry generalization of general relativity (Maxwell gravity), we have constructed the Maxwell extension of gravity. We found that the semi-simple extension of the Poincare symmetry allows us to introduce geometrically a cosmological constant term in four-dimensional gravity. This symmetry also allows the introduction of a non-vanishing torsion to the Maxwell 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.
9 pages
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