The canonical Weyl choice W=ρ is locally admissible for static axisymmetric Einstein spaces if and only if Λ=0, since the area function is no longer harmonic when Λ≠0.
Classi- cal integrability in the presence of a cosmological constant: analytic and machine learning results,
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Static axisymmetric Einstein spaces with a cosmological constant and the limitation of canonical Weyl coordinates
The canonical Weyl choice W=ρ is locally admissible for static axisymmetric Einstein spaces if and only if Λ=0, since the area function is no longer harmonic when Λ≠0.