Classification of Einstein spaces with Stackel metric of type (3.0)

The classification of the Einstein spaces with the Stackel metric of the (3.0) has been done. These spaces are invariant under the action of the three-parameter abelian group of motions and belong to the first-type Bianchi spaces. Thus the classification of vacuum and electrovacuum Stackel spaces of all types is completed and the complete list of metrics of such spaces in privileged coordinate systems is given.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2025-04-16
DOI
https://doi.org/10.1142/s0219887825501774
Citations
1
Primary Topic
Advanced Differential Geometry Research
Type
article
Field-Weighted Citation Impact
1.15
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article

Classification of Einstein spaces with Stackel metric of type (3.0)

В. В. Обухов
1 citations
International Journal of Geometric Methods in Modern Physics
Advanced Differential Geometry Research
1.15
article

Classification of Einstein spaces with Stackel metric of type (3.0)

В. В. Обухов
article en
1 citations

Abstract

The classification of the Einstein spaces with the Stackel metric of the (3.0) has been done. These spaces are invariant under the action of the three-parameter abelian group of motions and belong to the first-type Bianchi spaces. Thus the classification of vacuum and electrovacuum Stackel spaces of all types is completed and the complete list of metrics of such spaces in privileged coordinate systems is given.

International Journal of Geometric Methods in Modern PhysicsVol. 23(04)
Tomsk State Pedagogical University (RU), Tomsk State University of Control Systems and Radio-Electronics (RU)
Reduced inequalities
Openalex Percentile: Top 20%
Advanced Differential Geometry Research
1.15
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