Local Maxwell symmetry and gravity

Abstract

In this paper we discuss some physical aspects of a theory obtained by gauging the AdS-Maxwell symmetry. Such theory has the form of Einstein gravity coupled to the $\mathsf{SO}(3,1)$ Yang-Mills field. We notice that there is another tetrad field, which can be associated with linear combination of Lorentz and Maxwell connections. Taking this tetrad as a fundamental variable makes it possible to cast the theory into the form of $f-g$ gravity, in first order formulation. Finally we discuss a simple cosmological model derived from the AdS-Maxwell gravity.

6 pages

References in corpus (7)

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• $\mathcal{N}=2$ resonant superalgebra for supergravity