Finsler geometry is a well-known generalization of Riemannian geometry which allows us to account for a possibly nontrivial structure of the space of configurations of relativistic particles. Here we establish a link between Finsler geometry and the sorts of models with curved momentum space and doubly special relativistic relativistic symmetries which have been of interest recently in the quantum-gravity literature. We use as a case study the much-studied scenario which is inspired by the kappa-Poincare quantum group and show that the relevant deformation of relativistic symmetries can be implemented within a Finsler geometry.
|Titolo:||Realization of doubly special relativistic symmetries in Finsler geometries|
|Autori:||Amelino-Camelia, G; Barcaroli, L; Gubitosi, G; Liberati, S; Loret, N|
|Rivista:||PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY|
|Data di pubblicazione:||2014|
|Digital Object Identifier (DOI):||10.1103/PhysRevD.90.125030|
|Appare nelle tipologie:||1.1 Journal article|