Grazing collision of two black holes

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SUMMARY

The discussion centers on the dynamics of two black holes grazing each other during a high-speed encounter. It is established that while a merger of the event horizons is possible, the separation of the black holes post-collision is not feasible; once the event horizons merge, they form a single, larger black hole. The conversation also explores the implications for an orbiting mass during this interaction, concluding that it cannot re-emerge from the merged event horizon and would become part of the resulting singularity.

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  • Understanding of general relativity and black hole physics
  • Familiarity with event horizons and singularities
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  • Concept of timelike worldlines in spacetime
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Suppose two black holes graze one another in a high speed encounter. The collision is glancing such that the event horizons merge and then separate.

Q1) I assume this is possible?

Now suppose that the collision is nearly but not completely collinear.

Q2) Is it true in this case that each singularity would become entrained in the timelike worldline of the other and they would merge into one singularity?

Now here's the kicker. Suppose there is a small mass in low orbit around one of the holes in the first case.

Q3) Is it possible that the orbiting body would find itself enveloped by the swollen horizon during the grazing collision but re-emerge as the holes separated? I would presume not; in which case the question becomes

Q4) which singularity would the orbiting mass become part of? Can this be answered dynamically or is it somehow indeterminate?
 
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It is not possible. The merger is possible, but not the separation. Once one event horizon impinges on the other, you've got 1 bigger BH.
 
Good then. It was bothering me a lot that I could pull two holes apart. That it's not possible makes sense.

Thanks.
 

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