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.

Realization of doubly special relativistic symmetries in Finsler geometries

Amelino-Camelia, Giovanni;Gubitosi, Giulia;Liberati, Stefano;
2014-01-01

Abstract

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.
2014
90
12
1
16
125030
Amelino-Camelia, Giovanni; Barcaroli, L; Gubitosi, Giulia; Liberati, Stefano; Loret, N.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/14393
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