Non-vacuum Metrics for the Newman-Unti-Tamburino Background: A Coordinate-Free Approach to Diverging and Twisting Solutions

Ayşe Hümeyra Bilge; Tolga Birkandan; Tekin Dereli; Gulay Karakaya

doi:10.1007/s10773-026-06360-y

Non-vacuum Metrics for the Newman-Unti-Tamburino Background: A Coordinate-Free Approach to Diverging and Twisting Solutions

Ayşe Hümeyra Bilge
, Tolga Birkandan
, Tekin Dereli
, Gulay Karakaya^*

^*Bu çalışma için yazışmadan sorumlu yazar

Fizik Mühendisliği Bölümü

Kadir Has University
Koc University
Ozyegin University
Istanbul Technical University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

Özet

The geometry of the Newman-Unti-Tamburino (NUT) vacuum solution is characterized as the unique Petrov Type D vacuum metric such that the two double principal null directions form an integrable distribution. We study expanding and twisting non-vacuum Type D metrics in this geometry, with the additional assumption Φ01=Φ12=0. We prove that these conditions determine the solutions up to a freedom in Φ11±3Λ.

Orijinal dil	İngilizce
Makale numarası	157
Dergi	International Journal of Theoretical Physics
Hacim	65
Basın numarası	6
DOI'lar	https://doi.org/10.1007/s10773-026-06360-y
Yayın durumu	Yayınlandı - Haz 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/s10773-026-06360-y

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Non-vacuum Metrics for the Newman-Unti-Tamburino Background: A Coordinate-Free Approach to Diverging and Twisting Solutions",

abstract = "The geometry of the Newman-Unti-Tamburino (NUT) vacuum solution is characterized as the unique Petrov Type D vacuum metric such that the two double principal null directions form an integrable distribution. We study expanding and twisting non-vacuum Type D metrics in this geometry, with the additional assumption Φ01=Φ12=0. We prove that these conditions determine the solutions up to a freedom in Φ11±3Λ.",

keywords = "Integrable systems, Newman-Penrose formalism, NUT solution, Petrov type D metrics",

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

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

year = "2026",

month = jun,

doi = "10.1007/s10773-026-06360-y",

language = "English",

volume = "65",

journal = "International Journal of Theoretical Physics",

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TY - JOUR

T1 - Non-vacuum Metrics for the Newman-Unti-Tamburino Background

T2 - A Coordinate-Free Approach to Diverging and Twisting Solutions

AU - Hümeyra Bilge, Ayşe

AU - Birkandan, Tolga

AU - Dereli, Tekin

AU - Karakaya, Gulay

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

PY - 2026/6

Y1 - 2026/6

N2 - The geometry of the Newman-Unti-Tamburino (NUT) vacuum solution is characterized as the unique Petrov Type D vacuum metric such that the two double principal null directions form an integrable distribution. We study expanding and twisting non-vacuum Type D metrics in this geometry, with the additional assumption Φ01=Φ12=0. We prove that these conditions determine the solutions up to a freedom in Φ11±3Λ.

AB - The geometry of the Newman-Unti-Tamburino (NUT) vacuum solution is characterized as the unique Petrov Type D vacuum metric such that the two double principal null directions form an integrable distribution. We study expanding and twisting non-vacuum Type D metrics in this geometry, with the additional assumption Φ01=Φ12=0. We prove that these conditions determine the solutions up to a freedom in Φ11±3Λ.

KW - Integrable systems

KW - Newman-Penrose formalism

KW - NUT solution

KW - Petrov type D metrics

UR - https://www.scopus.com/pages/publications/105039815104

U2 - 10.1007/s10773-026-06360-y

DO - 10.1007/s10773-026-06360-y

M3 - Article

AN - SCOPUS:105039815104

SN - 0020-7748

VL - 65

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

IS - 6

M1 - 157

ER -

Non-vacuum Metrics for the Newman-Unti-Tamburino Background: A Coordinate-Free Approach to Diverging and Twisting Solutions

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap