A coordinate-free approach to obtaining exact solutions in general relativity: The Newman-Unti-Tamburino solution revisited
Abstract
The Newman-Unti-Tamburino (NUT) solution is characterized as the unique Petrov Type D vacuum metric such that the two double principal null directions form an integrable distribution. The uniqueness of the NUT is established by evaluating the integrability conditions of the Newman-Penrose equations up to SL(2,C) transformations, resulting in a coordinate-free characterization of the solution.
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