Conditions for static balance for the post-Newtonian two-body problem with electric charge in general relativity
The usual condition for static balance, for two bodies with masses and charges mi and ei (i = 1, 2), is ei=±G 1 2mi. From a post-Newtonian analysis of the two-body problem, an alternate condition for static balance ei=±(Gm1m2) 1 2 has been found. We do not know if this condition is exact beyond the post-Newtonian approximation. © 1977.
Publication Source (Journal or Book title)
Physics Letters A
Barker, B., & O'Connell, R. (1977). Conditions for static balance for the post-Newtonian two-body problem with electric charge in general relativity. Physics Letters A, 61 (5), 297-298. https://doi.org/10.1016/0375-9601(77)90619-3