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Thanks

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- Thread starter sqljunkey
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- #1

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Thanks

- #2

Mentor

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You can use equation 2 here:Someone told me that I don't need the whole mechanics of GR to be able to calculate the proper time in an accelerated frame of reference. I can just use SR but with curved coordinates and then integrate for time. But he didn't give me a reference where I could find the formula to do this.

https://en.m.wikipedia.org/wiki/Proper_time

You need to have ##ds^2## which is known as the arc length, as well P, both in terms of the chosen coordinates.

- #3

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You don't. The Lorentz transformation is, by definition, a transformation between inertial frames. However, you do not even need curvilinear coordinates to compute proper times of accelerated observers. You can just applyHow do you use Lorentz transformation with curved coordinates?

$$

\tau = \int_{t_1}^{t_2} \sqrt{1 - v(t)^2/c^2}\, dt.

$$

However, you can of course define a coordinate system where your accelerated observer is at rest, but you do not need to.

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