Spacetimes with vector distortion: Inflation from generalised Weyl geometry

作者：Jimenez Jose Beltran; Koivisto Tomi S^*

来源：Physics Letters B, 2016, 756: 400-404.

DOI：10.1016/j.physletb.2016.03.047

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 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.

• 出版日期2016-5-10