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Penrose diagram for two black holes

Physics Asked on February 16, 2021

There are well-known Penrose diagrams for black holes:

And for collapsing star:

Diagram for collapsing star is obtained by joining two Penrose diagrams:

Is it possible to join diagrams for two black holes?

These black holes will rotate and emit gravitational waves and after will collapse to one BH. How to join diagrams in such situation?

Maybe one can construct diagram witch approximately describe such process?

One Answer

No, it isn't possible to make a Penrose diagram for two black holes. In a Penrose diagram, we take advantage of symmetries to reduce the number of spacetime dimensions from 4 to 2. A spacetime containing two black holes doesn't have enough symmetry to allow that.

Answered by user279372 on February 16, 2021

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