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arXiv · 2411.11400

A coordinate-free approach to obtaining exact solutions in general relativity: The Newman-Unti-Tamburino solution revisited

Emir Baysazan·Ayse Humeyra Bilge·Tolga Birkandan·Tekin Dereli
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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 $SL(2,\mathbb{C})$ transformations, resulting in a coordinate-free characterization of the solution.

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Emir Baysazan, Ayse Humeyra Bilge, Tolga Birkandan, Tekin Dereli. 2024-11-18. A coordinate-free approach to obtaining exact solutions in general relativity: The Newman-Unti-Tamburino solution revisited. https://doi.org/10.1007/s10773-025-06228-7

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