Special relativity help - force

[Vrbic]

Homework Statement

A claim is made that a new force field F(x) (independent of the four-velocity) is discovered which induces on a mass m a 4-acceleration a = du/dτ = F(x)/m at position x. Would this be consistent with special relativity? Why or why not?

Homework Equations

The Attempt at a Solution

Consistent with relativity - if not, I would looking for some violation of maximum speed - light velocity or relativity prinicipel. Some hint please?

 

[mfb]

You can see if that can violate the speed limit, but it is probably easier to check if the ratio of accelerations of an object (as seen by two different observers) agrees with the prediction of special relativity.