Gauge theory of the Maxwell and semi-simple extended (anti) de Sitter algebra

Abstract

In this paper, a semi-simple and Maxwell extension of the (anti) de Sitter algebra is constructed. Then, a gauge-invariant model has been presented by gauging the Maxwell semi-simple extension of the (anti) de Sitter algebra. We firstly construct a Stelle-West like model action for five-dimensional space-time in which the effects of spontaneous symmetry breaking have been taken into account. In doing so, we get an extended version of Einstein's field equations. Next, we decompose the five-dimensional extended Lie algebra and establish a MacDowell-Mansouri like action that contains the Einstein-Hilbert term, the cosmological term as well as new terms coming from Maxwell extension in four-dimensional space-time where the torsion-free condition is assumed. Finally, we have shown that both models are equivalent for an appropriately chosen gauge condition.

arXiv comment8 pages

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• Cosmological application of the Maxwell gravity
• Non-Lorentzian Supergravity and Kinematical Superalgebras
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• Modified Friedmann Equations from Maxwell-Weyl Gauge Theory
• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
• Torsion-Induced Modification to Friedmann Equations in $AdS{L}_4$ Gauged Gravity