Spacetimes with vector distortion: Inflation from generalised Weyl geometry

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• 作者：Jose Beltrá ; n Jimé ; nez^a ; ^{jose.beltran@cpt.univ-mrs.fr" class="auth_mail" title="E-mail the corresponding author} ; Tomi S. Koivisto^b ; ^{tomi.koivisto@nordita.org" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 May 2016
• 年：2016
• 卷：756
• 期：Complete
• 页码：400-404
• 全文大小：270 K

文摘

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.