Submissions from E. M. Penrose
 [1] faKiv:2009.08525 [pdf]

The PenrosePapapetrou equation on the spacetime of the Schwarzschild black holeComments: 63 pages, 5 figures; v2: minor corrections, references added; v3: references updated, v4: minor corrections, references added; v5: minor corrections, references updated, v6: minor corrections, references updated
We derive a new and exact formula for the PenrosePapapetrou equation on the spacetime of the Schwarzschild black hole by integrating out the nonperturbative corrections. This is done by taking the Finite Element of the angle of the black hole and evaluating the PenrosePapapetrou equation. We find exactly the same formula as has been shown by MilnerFisher, but for the black hole radius, which we find to be precisely the same as the one derived by MilnerFisher.