>>14354343>>14354565Ok OP, I did the calculations in GR myself and you can do them too: just read
http://www.physics.usu.edu/Wheeler/GenRel/Lectures/GRNotesDecSchwarzschildGeodesicsPost.pdfTaking the curvature of spacetime into consideration shows that if you start off very far from the black hole with an initial velocity of zero wrt the center of the black hole, then the velocity at a distance r greater than the Schwarzschild radius is given by , where r_s is the Schwarzschild radius . It's easy to see that this is approximately equal to the formula in
>>14354565 when . You can also show that when the body passes the distance , its velocity starts decreasing as it gets closer to the center and asymptotically approaches zero as you approach the event horizon r = r_s. It might seem that the body will never pass the event horizon but you should keep in mind that this velocity is the velocity measured by someone far from the black hole and even though they'll never see the object pass the event horizon in a finite time as measured by them, someone moving along with the object will cross it in a finite time as measured by them.
