A coordinate-free approach to obtaining exact solutions in general relativity: The Newman-Unti-Tamburino solution revisited
arXiv:2411.11400 · doi:10.1007/s10773-025-06228-7
Abstract
The Newman-Unti-Tamburino (NUT) solution is characterized as the unique Petrov Type 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 transformations, resulting in a coordinate-free characterization of the solution.
19 pages