Lobo, Larley P.; Loret, Niccoló; Nettel, Francisco
(2017)
Rainbows without unicorns: metric structures in theories with modified dispersion relations.
European Physical Journal C: Particles and Fields, 77
(7).
pp. 451-1.
ISSN 1434-6044
Abstract
Rainbow metrics are a widely used approach to the metric formalism for theories with modified dispersion relations. They have had a huge success in the quantum gravity phenomenology literature, since they allow one to introduce momentum-dependent space-time metrics into the description of systems with a modified dispersion relation. In this paper, we introduce the reader to some realizations of this general idea: the original rainbow metrics proposal, the momentum-space-inspired metric and a Finsler geometry approach. As the main result of this work we also present an alternative definition of a four-velocity dependent metric which allows one to handle the massless limit. This paper aims to highlight some of their properties and how to properly describe their relativistic realizations.
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