Stationary metrics and optical Zermelo-Randers-Finsler geometry
Stationary metrics and optical Zermelo-Randers-Finsler geometry
We consider a triality between the Zermelo navigation problem, the geodesic flow on a Finslerian geometry of Randers type, and spacetimes in one dimension higher admitting a timelike conformal Killing vector field. From the latter viewpoint, the data of the Zermelo problem are encoded in a (conformally) Painleve-Gullstrand form of …