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Jan 15, 2019 at 6:54 comment added safesphere @A.V.S. Thanks so much! The green line is $\tau(r)$, so the vertical axis for it is the proper taime $\tau$ (I should have indicated this on the plots, sorry). The first plot shows that $\tau$ inside the horizon is $\pi$ and is approx. twice larger than on the second plot. Thus the plots show that the proper time is maximized by starting a free fall from the horizon.
Jan 15, 2019 at 5:38 comment added A.V.S. @safesphere: OK and the answer appears correct to me (so +1) although the green line on your “in comparison” plot baffles me
Jan 14, 2019 at 22:35 comment added safesphere @A.V.S. The tangential motion persists through the horizon thus increasing the speed inside and adding to the time dilation to shorten the proper time. The objective is to stop any spatial movement passed the horizon, including the tangential movement, which we can stop by not having it in the first place.
Jan 14, 2019 at 22:31 comment added A.V.S. At a glance, why are you ignoring the tangential motion? A generic astronaut falling into a black hole would have nonzero angular momentum. Is it advantageous to remove it or increase it?
Oct 5, 2018 at 20:47 comment added magma what software did you use for the charts?
Sep 6, 2018 at 8:00 history edited safesphere CC BY-SA 4.0
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Sep 6, 2018 at 4:22 history edited safesphere CC BY-SA 4.0
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Sep 6, 2018 at 0:29 history answered safesphere CC BY-SA 4.0