%0 Journal Article
%T A generalized Weyl structure with arbitrary non-metricity
%A Delhom, A.
%A Lobo, I. P.
%A Olmo, G. J.
%A Romero, C.
%J European Physical Journal C
%D 2019
%V 79
%N 10
%I Springer
%@ 1434-6044
%G English
%F Delhom_etal2019
%O WOS:000491497000001
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4185), last updated on Wed, 06 Nov 2019 08:47:37 +0000
%X A Weyl structure is usually defined by an equivalence class of pairs (g, omega) related by Weyl transformations, which preserve the relation del g = omega circle times g, where g and omega denote the metric tensor and a 1-form field. An equivalent way of defining such a structure is as an equivalence class of conformally related metrics with a unique affine connection Gamma((omega)), which is invariant under Weyl transformations. In a standard Weyl structure, this unique connection is assumed to be torsion-free and have vectorial non-metricity. This second view allows us to present two different generalizations of standard Weyl structures. The first one relies on conformal symmetry while allowing for a general non-metricity tensor, and the other comes from extending the symmetry to arbitrary (disformal) transformations of the metric.
%R 10.1140/epjc/s10052-019-7394-z
%U https://arxiv.org/abs/1906.05393
%U https://doi.org/10.1140/epjc/s10052-019-7394-z
%P 878-9pp