Note on motion in the Schwarzschild field

Physics

Scientific paper

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Scientific paper

We reassert, against Janis's criticism, that the speed V of a freely falling test particle in the Schwarzschild field approaches the speed of light as it approaches the Schwarzschild radius (rS=2m) if measured in a reference system S at rest with the source. Janis's result, i.e., V<1 for a freely falling test particle even for r-->2m+ (in particular, V<=13 if V=0 at r-->∞), holds only with respect to a system S* a general point of which moves with V'-->1- when it approaches the Schwarzschild radius.

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