An axially symmetric stationary N-center solution of Einstein's vacuum equations

Using the Euclidon method [1–3], a stationary solution of Einstein's vacuum equations was obtained, describing N rotating axially symmetric masses, which in the absence of rotation describes N arbitrary axially symmetric static masses, for example, N Erez-Rosen masses having arbitrary multipole structure or N Zipoy-Voorhees masses on the axis of symmetry, and in the absence of distortion, N Kerr-NUT solutions.

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Publication Details

Journal
International Journal of Modern Physics A
Published
2026-09-18
DOI
https://doi.org/10.1142/s0217751x26501800
Primary Topic
Advanced Differential Geometry Research
Type
article
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article

An axially symmetric stationary N-center solution of Einstein's vacuum equations

Kirill V Golubnichiy, Aleksandr A Shaideman, Jesus D Arias
International Journal of Modern Physics A
Advanced Differential Geometry Research
article

An axially symmetric stationary N-center solution of Einstein's vacuum equations

Kirill V Golubnichiy, Aleksandr A Shaideman, Jesus D Arias
article en

Abstract

Using the Euclidon method [1–3], a stationary solution of Einstein's vacuum equations was obtained, describing N rotating axially symmetric masses, which in the absence of rotation describes N arbitrary axially symmetric static masses, for example, N Erez-Rosen masses having arbitrary multipole structure or N Zipoy-Voorhees masses on the axis of symmetry, and in the absence of distortion, N Kerr-NUT solutions.

International Journal of Modern Physics A
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Advanced Differential Geometry Research
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