Figure 1:
, , together with the future and the past of . One has , even though this is not immediately apparent from the figure. The domain of outer communications is the intersection ; compare with Figure 2. 

Figure 2:
The hypersurface from the definition of regularity. 

Figure 3:
Classification of analytic, connected, mean nondegenerate, asymptoticallyflat, regular, stationary electrovacuum black holes. 

Figure 4:
Classification of stationary electrovacuum blackhole spacetimes 
http://www.livingreviews.org/lrr20127 
Living Rev. Relativity 15, (2012), 7
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