Very Special Relativity in Curved Space-Times

Understand

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.