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If you square both sides of the gravitational time dilation function for non-rotating spherical bodies, do you not get a "time travel function" that allows you to travel back in time with a massive enough body like a blackhole?
I don't understand what you mean by a "time travel function", but there's nothing that happens in the neighborhood of a non-rotating spherical black hole that allows you to travel back in time.If you square both sides of the gravitational time dilation function for non-rotating spherical bodies, do you not get a "time travel function" that allows you to travel back in time with a massive enough body like a blackhole?
No. For this range of the radial coordinate, you are inside the black hole's horizon, and there are no static observers there--i.e., no observers that "hover" at a constant ##r## (doing this inside the horizon would require moving faster than light). So there's no way to make the comparison of "time" that you are trying to make here.I must be not understanding something then. If 0 < 2GM/rc2 < 1 or 0 < r0/r < 1, then time in the gravity well is less than time at an arbitrarily far distance from it.
t0 doesn't appear anywhere in what you said. What is t0?The greater the mass M, the smaller the distance from center r, the farther the observer is in the past (t0).