Rainbows without unicorns: Metric structures in theories with Modified Dispersion Relations
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.
Keywords
Cite
@article{arxiv.1610.04277,
title = {Rainbows without unicorns: Metric structures in theories with Modified Dispersion Relations},
author = {Iarley P. Lobo and Niccoló Loret and Francisco Nettel},
journal= {arXiv preprint arXiv:1610.04277},
year = {2017}
}
Comments
10 pages. Discussion on the role of connections was added. Matches published version