# Metric of two bodies

Hello there. I would like to find the metric tensor produced by the existence of two massive bodies. Does the principle of superposition work for metrics as well? The first idea I got was to add the two metrics for each separate body in order to obtain the resulting one. Is this approach valid? I should be grateful for any help.

Bill_K
tarquinius, If you really mean two free particles, the solution will be quite complicated since they will accelerate toward each other, emitting gravitational radiation, and eventually coalesce. The problem can only be solved numerically.

Otherwise a static Weyl solution exists that has two point masses held a fixed distance apart by a nonphysical strut.

And does this Weyl solution work the way I have described above? Would it be possible to just add the metric of each body in order to obtain the resulting one?

pervect
Staff Emeritus