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In the context of Cartan theory, we will show that the Proca action can beobtained from the Gauss-Bonnet action for a special choice of the torsiontensor. This in fact equivalent to the special case of the 4th vector GalileonLagrangian. The theory will then be promoted to contain an axion field. It willbe proved that the model admits de Sitter expanding phase with healthy tensorand vector fluctuations. The scalar sector has 4 degrees of freedom, but onlyone of them remains dynamical in the limit $k\rightarrow\infty$. We willanalyze the scalar fluctuations in the small scales limit and obtain theparameter space of the theory in which all the perturbations remain healthy.

Axionic extension of the Proca action