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arXiv · 1509.02476

Spacetimes with vector distortion: Inflation from generalised Weyl geometry

Jose Beltrán Jiménez·Tomi S. Koivisto
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Abstract

Spacetime with general linear vector distortion is introduced. Thus, the torsion and the nonmetricity 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 order quadratic curvature 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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Jose Beltrán Jiménez, Tomi S. Koivisto. 2016-01-06. Spacetimes with vector distortion: Inflation from generalised Weyl geometry. https://doi.org/10.1016/j.physletb.2016.03.047

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