# Time Dilation in accelerated frame

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