Stationary axisymmetric systems that allow for a separability structure

Fuente: arXiv
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Hauptverfasser: Kim, Hyeong-Chan, Lee, Wonwoo
Format: Preprint
Veröffentlicht: 2026
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author Kim, Hyeong-Chan
Lee, Wonwoo
author_facet Kim, Hyeong-Chan
Lee, Wonwoo
contents We develop a systematic framework for formulating and solving the conditions that lead to separability in stationary, axisymmetric spacetimes in the presence of matter fields. Guided by Carter's metric form, we introduce a general stationary, axisymmetric metric ansatz that allows for a transparent separation of radial and angular variables. This construction yields a broad family of stationary rotating solutions admitting separability structures. To illustrate the applicability of the formalism, we explicitly construct several examples, including a rotating black hole with a global monopole supported by anisotropic matter, as well as a new class of rotating wormhole geometries.
format Preprint
id arxiv_https___arxiv_org_abs_2603_04047
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Stationary axisymmetric systems that allow for a separability structure
Kim, Hyeong-Chan
Lee, Wonwoo
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We develop a systematic framework for formulating and solving the conditions that lead to separability in stationary, axisymmetric spacetimes in the presence of matter fields. Guided by Carter's metric form, we introduce a general stationary, axisymmetric metric ansatz that allows for a transparent separation of radial and angular variables. This construction yields a broad family of stationary rotating solutions admitting separability structures. To illustrate the applicability of the formalism, we explicitly construct several examples, including a rotating black hole with a global monopole supported by anisotropic matter, as well as a new class of rotating wormhole geometries.
title Stationary axisymmetric systems that allow for a separability structure
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2603.04047