Re: Exact solution of 2-body problem in GR?

On 23 oct, 05:46, Melroy <melroysoa...@xxxxxxxxxxx> wrote:
Hi
Is there a formal proof that the 2-body problem in GR cannot be solved
exactly?
If so can someone point me to it?
Thanks

There is an exact (simple) solution of the n-bodies problem in GR for
a set of n-extremal Reisner-Nordstrom Black holes. See ie "Space time
and Geometry" (Sean M. Carroll) p259-261 for the solution.
In introducing the negative mass in GR, Bondi studied the 2-bodies
problem in GR including one of negative mass.
( Negative mass in GR , H. Bondi, Review of modern physic Vol 29 Nb 3
July 1957).
The conclusion is not so clear, as a solution implies some special
conditon at infinity, but the demo is interesting...

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