PT Journal
AU Delhom, A
   Lobo, IP
   Olmo, GJ
   Romero, C
TI A generalized Weyl structure with arbitrary non-metricity
SO European Physical Journal C
JI Eur. Phys. J. C
PY 2019
BP 878
EP 9pp
VL 79
IS 10
DI 10.1140/epjc/s10052-019-7394-z
LA English
AB 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.
ER