Very Special Relativity in Curved Space-Times
arXiv:0806.0737 · doi:10.1016/j.physletb.2008.10.028
Abstract
The generalization of Cohen and Glashow's Very Special Relativity to curved space-times is considered. Gauging the SIM(2) symmetry does not, in general, provide the coupling to the gravitational background. However, locally SIM(2) invariant Lagrangians can always be constructed. For space-times with SIM(2) holonomy, they describe chiral fermions propagating freely as massive particles.
7 pages