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Separability, plane wave limits and rotating black holes
Classical and Quantum Gravity  (IF3.528),  Pub Date : 2021-09-07, DOI: 10.1088/1361-6382/ac1cf8
G Papadopoulos

We present a systematic construction of the Penrose coordinates and plane wave limits of spacetimes for which both the null Hamilton–Jacobi and geodesic equations separate. The method is applied to Kerr-NUT-(A)dS four-dimensional black holes. The plane wave limits of the near horizon geometry of the extreme Kerr black hole are also explored. All near horizon geometries of extreme black holes with a regular Killing horizon admit Minkowski spacetime as a plane wave limit.