Hi!

Imagine that we are in a rocket accelerating with some magnitude a_{1} = dx^{2}/d^{2}y, also imagine that we have a stationary rocket ship in close proximity to ours, stationary relative to our reference frame, we will notice the stationary ship to measure time (If we have a clock onboard that ship which is visible to ours) at some time t_{0}.

Now the question leads to this, the time measured on our ship will be moving relative to the stationary ship, but the equivalence principle tells us that if we accelerate at some magnitude we can't tell it apart from gravity, but gravity bends spacetime in such a manner that time will be slowed relative to some reference frame, but if we compare the two clocks on these ships, ours and the stationary one, will our measurement account for the bending of spacetime due to the acceleration?

I live in Sweden so my English might not be perfect, excuses are made.

Now debate.