2014/07/30 by Giovanni Amelino-Camelia, Leonardo Barcaroli, Giulia Gubitosi +2 · 1 citation
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.90.125030
published as Phys. Rev. D 90, 125030 (2014)
arxiv created 2014/07/30 · arxiv updated 2015/01/07
Finsler geometry is a well known generalization of Riemannian geometry which allows to account for a possibly non trivial structure of the space of configurations of relativistic particles. We here establish a link between Finsler geometry and the sort of models with curved momentum space and DSR-relativistic symmetries which have been recently of interest in the quantum-gravity literature. We use as case study the much-studied scenario which is inspired by the κ-Poincaré quantum group, and show that the relevant deformation of relativistic symmetries can be implemented within a Finsler geometry.