Spacetimes with vector distortion: Inflation from generalised Weyl geometry

Abstract : Spacetime with general linear vector distortion is introduced. Thus, the torsion and the non-metricity of the affine connection are assumed to be proportional to a vector field (and not its derivatives). The resulting two-parameter family of non-Riemannian geometries generalises the conformal Weyl geometry and some other interesting special cases. Taking into account the leading nonlinear correction to the Einstein-Hilbert action results uniquely in the one-parameter extension of the Starobinsky inflation known as the alpha-attractor. The most general quadratic curvature action introduces, in addition to the canonical vector kinetic term, novel ghost-free vector-tensor interactions.
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Physics Letters B, Elsevier, 2016, 756, pp.400-404. 〈10.1016/j.physletb.2016.03.047〉
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Jose Beltrán Jiménez, Tomi S. Koivisto. Spacetimes with vector distortion: Inflation from generalised Weyl geometry. Physics Letters B, Elsevier, 2016, 756, pp.400-404. 〈10.1016/j.physletb.2016.03.047〉. 〈hal-01282524〉

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