A Coordinate-free Approach to Obtaining Exact Solutions in General Relativity: The Newman-Unti-Tamburino Solution Revisited

Emir Baysazan; Ayşe Hümeyra Bilge; Tolga Birkandan; Tekin Dereli

doi:10.1007/s10773-025-06228-7

A Coordinate-free Approach to Obtaining Exact Solutions in General Relativity: The Newman-Unti-Tamburino Solution Revisited

Emir Baysazan
, Ayşe Hümeyra Bilge
, Tolga Birkandan^*
, Tekin Dereli

^*Corresponding author for this work

Department of Physics Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	62
Journal	International Journal of Theoretical Physics
Volume	65
Issue number	3
DOIs	https://doi.org/10.1007/s10773-025-06228-7
Publication status	Published - Mar 2026

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2026.

Keywords

Integrability
Newman-Penrose formalism
NUT solution

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10.1007/s10773-025-06228-7

Cite this

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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,C) transformations, resulting in a coordinate-free characterization of the solution.",

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AU - Birkandan, Tolga

AU - Dereli, Tekin

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2026.

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A Coordinate-free Approach to Obtaining Exact Solutions in General Relativity: The Newman-Unti-Tamburino Solution Revisited

Abstract

Bibliographical note

Keywords

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