Passionflower
Nov6-11, 12:22 PM
There are several measures of distance for a free falling observer in a Schwarzschild solution.
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?
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?