Mathematically I am wonder would two binary wormholes radiate intense energy as gravitational wave as they get closer and closer together, I like to know what happens to the mass (or negative mass) for these wormholes?

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    $\begingroup$ By "binary wormhole" do you mean the two entrances of a single wormhole? Or entrances of two separate wormholes? $\endgroup$ – PM 2Ring Mar 27 at 9:43
  • $\begingroup$ @PM2Ring: 2 separate wormholes. $\endgroup$ – user6760 Mar 27 at 9:46

Most wormhole solutions involve significant curvature*, so if they change rapidly over time we should expect them to radiate gravitational waves. However, exactly what happens is going to be tremendously model-dependent.

(Footnote: One can make wormhole solutions that lack curvature simply by topologically gluing together parts of the spacetime manifold. But it is less clear what it would mean to have the holes orbit each other in this case. )

  • $\begingroup$ Glued wormholes do not lack curvature, they are simply concentrated on the mouth. But it is indeed perfectly fine to have a solution of two such wormholes with arbitrary movements and no gravitational waves outside (they can indeed be flat outside of the mouth at all times). $\endgroup$ – Slereah May 23 at 8:04

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