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Does a similar diagram exist for the Kerr metric?

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- Thread starter Dale
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Does a similar diagram exist for the Kerr metric?

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Does a similar diagram exist for the Kerr metric?

Section 3.6 of this paper derives Kruskal-like coordinates for Kerr spacetime; section 3.7 presents Penrose diagrams:

https://arxiv.org/pdf/1503.02172.pdf

There is one key thing about Kerr spacetime that the above paper does not appear to mention: a single Kruskal or Penrose diagram, since it only has two coordinates, cannot completely describe the geometry up to symmetries, since Kerr spacetime is not spherically symmetric, it's only axially symmetric. So to fully describe the geometry, up to symmetries, you need multiple Penrose-type diagrams. The most commonly seen one is a diagram of the equatorial plane of Kerr spacetime (that appears to be the one in the above paper), but that by itself doesn't tell you everything.

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