See https://www.quora.com/Why-don%E2%80%99t-Tesla-cars-need-a-ge...
Electric cars do not have a gearbox and just have one rotor. This does place them in a disadvantage when starting though as there acceleration is affected. Formula E cars, have started using a 3 gearbox for their cars in order to have a faster start.
So it is possible that the Roadster does have a gearbox.