You have to regularize the point mass. So you replace it with an object
of finite size and density. You can take the limit of the size to zero
for constant total mass at the end of the computations.
Saibal
On 16-02-2021 13:29, Alan Grayson wrote:
IIRC, for R2 > R1, and the potential function going as 1/r, one can
integrate from R1 to R2 to get the total added PE when moving against
the gravity field between those distances. But the PE is undefined if
we integrate from R = 0. If this is correct, it seems that the PE for
a point mass is undefined, and it's therefore impossible to equate it
with the rest energy of the gravitating mass, to get a total energy
for the rest mass as zero. AG
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