Time Dilation in accelerated frame

[VVS]

Homework Statement

Hi, I have an exercise where we are supposed to find a condition for which two clocks are synchronise if one clock is accelerated.

Homework Equations

The time dilation in an inertial frame moving with velocity $v$ is well known. $t'=\frac{t}{1-\frac{v^2}{c^2}}$

The Attempt at a Solution

My question is whether this formula can be generalized for time varying speeds such that the time passed in the accelerated frame is given by: $t'=\int_0^t \frac{1}{1-\frac{v(\tau)^2}{c^2}}d\tau$

 

[Greg Bernhardt]

Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?

 

[VVS]

No problem. I found out that the Lorentz transformation is only valid for constant speeds. So what I thought is wrong. thanks anyway