We know that the escape velocity at the schwarzchild radius is c.(adsbygoogle = window.adsbygoogle || []).push({});

Since the escape velocity is defined as the velocity needed to escape from the gravitational field, to reach a total energy of 0 at infinity:

Doesn't this mean that an object falling from infinity starting at rest, to the schwarzchild radius of a black hole will then have a velocity of c? This is obviously wrong, but I can't see where my mistake was.

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# Schwarzchild radius and escape velocity?

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