I have this expression for the gravitational force between 2 masses when the gr term is added:

Regina Ewing

Regina Ewing

Answered question

2022-05-19

I have this expression for the gravitational force between 2 masses when the gr term is added:
F = G M m r 2 + 4 G 2 m M ( M + m ) r 4 c 2
which I got from the internet since I haven't bee able to find a similar expression in any book. But i'm not sure if it's right or needs fixing.
Is the second term in the force correct?

Answer & Explanation

notemilyu1208

notemilyu1208

Beginner2022-05-20Added 20 answers

I only know a little bit of GR. But by checking dimensions, it should be wrong.
[ G M r 2 c 2 ] = [ G M 2 r ] [ 1 M c 2 ] [ 1 r ] = [ 1 r ]
which is not dimensionless.

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