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arXiv · 1610.04277

Rainbows without unicorns: Metric structures in theories with Modified Dispersion Relations

Iarley P. Lobo·Niccoló Loret·Francisco Nettel
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Abstract

Rainbow metrics are a widely used approach to metric formalism for theories with Modified Dispersion Relations. They have had a huge success in the Quantum Gravity Phenomenology literature, since they allow to introduce momentum-dependent spacetime metrics into the description of systems with 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, the standard Finsler geometry approach and our alternative definition of a four-velocity-dependent metric with a massless limit. This paper aims to highlight some of their properties and how to properly describe their relativistic realizations.

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Iarley P. Lobo, Niccoló Loret, Francisco Nettel. 2017-07-09. Rainbows without unicorns: Metric structures in theories with Modified Dispersion Relations. https://doi.org/10.1140/epjc%2Fs10052-017-5017-0

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