Figure 3 - uploaded by Sanjeev S. Seahra
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# Contour plot of the Kretchmann scalar tanh(σ −4 R αβγδ R αβγδ ) in the (ρ, z) plane for p = 1/3. The centre of the flower-shaped region is the ring singularity.

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We analyze the $\delta=2$ Tomimatsu-Sato spacetime in the context of the proposed Kerr/CFT correspondence. This 4-dimensional vacuum spacetime is asymptotically flat and has a well-defined ADM mass and angular momentum, but also involves several exotic features including a naked ring singularity, and two disjoint Killing horizons separated by a reg...

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... examination of the Kretschmann scalar R αβγδ R αβγδ (which is plotted in Fig. 3), we see that there is a curvature singularity in the manifold when: ...

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