There are several measures of distance for a free falling observer in a Schwarzschild solution.(adsbygoogle = window.adsbygoogle || []).push({});

I think it would be interesting to consider as to what kind of distance measure we have in the following scenario:

For an observer free falling at escape velocity we can calculate by integration the total elapsed proper time between two r values. We can also calculate by integration the average velocity of all velocities wrt to a local static observer between these two values.

Thus we can calculate a distance as in:

Distance = Average velocity * Time

What measure of distance do we get?

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# A case of what distance

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