What Equation Should Be Used for Accelerating Frames in Relativity?

[astrozilla]

Homework Statement

A frame is accelerating uniformly along the x-axis relative to an inertial frame (x,y,z) with acceleration a.Find the transformation between the frames given that the origins concide at t=0.

Homework Equations

The lorentz transformations cannot apply here ,but what equation has to be used ?

The Attempt at a Solution

I think a tensor equation is what we need because tensor equations i.e maxwell equations in tensor notation are frame invariant.

 

[mathfeel]

Homework Statement

A frame is accelerating uniformly along the x-axis relative to an inertial frame (x,y,z) with acceleration a.Find the transformation between the frames given that the origins concide at t=0.

Homework Equations

The lorentz transformations cannot apply here ,but what equation has to be used ?

The Attempt at a Solution

I think a tensor equation is what we need because tensor equations i.e maxwell equations in tensor notation are frame invariant.

Lorentz transformation applies just fine with instantaneous speed with respect to the observer. The boost from observer to the accelerating frame must be able to transform the four-acceleration properly, and the integration of four-acceleration over proper time gives you the four-velocity. Satisfying these two condition gives you the formula for the Lorentz transformation.