- #36
George Jones
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Passionflower said:for massive particles this coordinate speed depends on a critical speed which is [itex]c/\sqrt{3}[/itex], above this speed a test particle's coordinate speed will slow down, below it it will speed up. Massive particles also have a critical proper speed which is [itex]c/\sqrt{2}[/itex].
I became interested in this type of stuff a few months ago, and I did a bunch of calculations in Schwarzschild and Rindler spacetimes. There is some confusion in the literature, but a couple of interesting references are:
http://arxiv.org/abs/gr-qc/0310020;
http://arxiv.org/abs/gr-qc/0310020.
For accelerated motion in special relativity, see Figure 1 of the second reference.