https://doi.org/10.1140/epjc/s10052-019-7394-z
Regular Article - Theoretical Physics
A generalized Weyl structure with arbitrary non-metricity
1
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Universidad de Valencia, Burjassot, 46100, Valencia, Spain
2
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil
3
Departamento de Física, Universidade Federal de Lavras, Caixa Postal 3037, 37200-000, Lavras, MG, Brazil
* e-mail: iarley_lobo@fisica.ufpb.br
Received:
18
June
2019
Accepted:
12
October
2019
Published online:
25
October
2019
A Weyl structure is usually defined by an equivalence class of pairs 
related by Weyl transformations, which preserve the relation 
, where 
and 
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 
, 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.
© The Author(s), 2019
