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## 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 [itex]v[/itex] is well known. [itex]t'=\frac{t}{1-\frac{v^2}{c^2}}[/itex]

## 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: [itex]t'=\int_0^t \frac{1}{1-\frac{v(\tau)^2}{c^2}}d\tau[/itex]