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^*

^*Corresponding author for this work

Department of Physics Engineering

Kadir Has University
Koc University
Ozyegin University
Istanbul Technical University

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

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.

Original language	English
Article number	157
Journal	International Journal of Theoretical Physics
Volume	65
Issue number	6
DOIs	https://doi.org/10.1007/s10773-026-06360-y
Publication status	Published - Jun 2026

Bibliographical note

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

Keywords

Integrable systems
Newman-Penrose formalism
NUT solution
Petrov type D metrics

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10.1007/s10773-026-06360-y

Cite this

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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.",

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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.

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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

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KW - Petrov type D metrics

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ER -

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

Abstract

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Keywords

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