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Time Dilation in accelerated frame

  1. Oct 11, 2014 #1


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    1. The problem statement, all variables and given/known data
    Hi, I have an exercise where we are supposed to find a condition for which two clocks are synchronise if one clock is accelerated.

    2. Relevant 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]

    3. 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]
  2. jcsd
  3. Oct 16, 2014 #2
    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?
  4. Oct 17, 2014 #3


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