Classification of the non-null electrovacuum solution of Einstein-Maxwell equations with three-parameter abelian group of motions
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910634767024128 |
|---|---|
| author | Obukhov, V. V. |
| author_facet | Obukhov, V. V. |
| contents | The classification of the Stackel spaces of the electrovacuum of the type (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. In the case of a non-zero cosmological term, the metrics and potentials contain solutions of a nonlinear ordinary differential equation of the second order. When the cosmological term equals zero, the metrics and the components of the electromagnetic field tensor are expressed through elementary functions. Thus the classification of the electrovacuum Stackel spaces of all types is completed and complete list of these spaces is constructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04049 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of the non-null electrovacuum solution of Einstein-Maxwell equations with three-parameter abelian group of motions Obukhov, V. V. General Relativity and Quantum Cosmology 83C05, 83C15, 83C20, 83C22 The classification of the Stackel spaces of the electrovacuum of the type (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. In the case of a non-zero cosmological term, the metrics and potentials contain solutions of a nonlinear ordinary differential equation of the second order. When the cosmological term equals zero, the metrics and the components of the electromagnetic field tensor are expressed through elementary functions. Thus the classification of the electrovacuum Stackel spaces of all types is completed and complete list of these spaces is constructed. |
| title | Classification of the non-null electrovacuum solution of Einstein-Maxwell equations with three-parameter abelian group of motions |
| topic | General Relativity and Quantum Cosmology 83C05, 83C15, 83C20, 83C22 |
| url | https://arxiv.org/abs/2410.04049 |