Planck-scale modified dispersion relations and Finsler geometry

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dc.creatorGirelli, Florian
dc.creatorLiberati, Stefano
dc.creatorSindoni, Lorenzo
dc.date2006-11-03
dc.date2007-03-27
dc.date.accessioned2026-07-07T10:41:06Z
dc.date.available2026-07-07T10:41:06Z
dc.descriptionA common feature of all Quantum Gravity (QG) phenomenology approaches is to consider a modification of the mass shell condition of the relativistic particle to take into account quantum gravitational effects. The framework for such approaches is therefore usually set up in the cotangent bundle (phase space). However it was recently proposed that this phenomenology could be associated with an energy dependent geometry that has been coined ``rainbow metric". We show here that the latter actually corresponds to a Finsler Geometry, the natural generalization of Riemannian Geometry. We provide in this way a new and rigorous framework to study the geometrical structure possibly arising in the semiclassical regime of QG. We further investigate the symmetries in this new context and discuss their role in alternative scenarios like Lorentz violation in emergent spacetimes or Deformed Special Relativity-like models.
dc.descriptionReplaced with the published version
dc.identifierhttps://arxiv.org/abs/gr-qc/0611024
dc.identifierhttp://arxiv.org/abs/gr-qc/0611024
dc.identifierPhys.Rev.D75:064015,2007
dc.identifierdoi:10.1103/PhysRevD.75.064015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181527
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titlePlanck-scale modified dispersion relations and Finsler geometry
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