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

^*Bu çalışma için yazışmadan sorumlu yazar

Fizik Mühendisliği Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

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.

Orijinal dil	İngilizce
Makale numarası	62
Dergi	International Journal of Theoretical Physics
Hacim	65
Basın numarası	3
DOI'lar	https://doi.org/10.1007/s10773-025-06228-7
Yayın durumu	Yayınlandı - Mar 2026

Bibliyografik not

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

Belgeye Erişim

10.1007/s10773-025-06228-7

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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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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author = "Emir Baysazan and Bilge, \{Ay{\c s}e H{\"u}meyra\} and Tolga Birkandan and Tekin Dereli",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2026.",

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T2 - The Newman-Unti-Tamburino Solution Revisited

AU - Baysazan, Emir

AU - Bilge, Ayşe Hümeyra

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.

PY - 2026/3

Y1 - 2026/3

N2 - 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.

AB - 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.

KW - Integrability

KW - NUT solution

KW - Newman-Penrose formalism

UR - https://www.scopus.com/pages/publications/105030445775

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DO - 10.1007/s10773-025-06228-7

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JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 3

M1 - 62

ER -

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

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

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