This question concerns wristwatch time, tau-time i, proper time, and the correlation between this time and the r-coordinate Equation  gives us dt/dx, the correlation between time at infinity and spaceship proper time:
Equation  gives us dr/dt, the correlation between radial r-coordinate and far-away time.
We use equations  and  to find the correlation between changes in r-coordinate and wristwatch time:
This equation gives the change dx in proper time racked up during the shrinkage dr in the r-coordinate:
Integrate both sides of this expression from r = 2M to r = 0 0
Was this article helpful?