Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times
The aim of this paper is to give the geometrical/physical interpretation of the conserved quantities corresponding to each Noether symmetry of the geodetic Lagrangian of plane symmetric space-times. For this purpose, we present a complete list of plane symmetric nonstatic space-times along with the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/4384093 |
| _version_ | 1827004224154632192 |
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| author | Bismah Jamil Tooba Feroze Andrés Vargas |
| author_facet | Bismah Jamil Tooba Feroze Andrés Vargas |
| author_sort | Bismah Jamil |
| collection | DOAJ |
| description | The aim of this paper is to give the geometrical/physical interpretation of the conserved quantities corresponding to each Noether symmetry of the geodetic Lagrangian of plane symmetric space-times. For this purpose, we present a complete list of plane symmetric nonstatic space-times along with the generators of all Noether symmetries of the geodetic Lagrangian. Additionally, the structure constants of the associated Lie algebras, the Riemann curvature tensors, and the energy-momentum tensors are obtained for each case. It is worth mentioning that the list contains all classes of solutions that have been obtained earlier during the classification of plane symmetric space-times by isometries and homotheties. |
| first_indexed | 2025-02-18T11:35:03Z |
| format | Article |
| id | doaj.art-a97009b5e7d444e9ab1057a49b936bcc |
| institution | Directory Open Access Journal |
| issn | 1687-9120 1687-9139 |
| language | English |
| last_indexed | 2025-02-18T11:35:03Z |
| publishDate | 2017-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj.art-a97009b5e7d444e9ab1057a49b936bcc2024-11-02T05:18:18ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/43840934384093Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-TimesBismah Jamil0Tooba Feroze1Andrés Vargas2School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, PakistanSchool of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, PakistanDepartamento de Matemáticas, Facultad de Ciencias, Pontificia Universidad Javeriana, Cra. 7 N. 40-62, Bogotá, ColombiaThe aim of this paper is to give the geometrical/physical interpretation of the conserved quantities corresponding to each Noether symmetry of the geodetic Lagrangian of plane symmetric space-times. For this purpose, we present a complete list of plane symmetric nonstatic space-times along with the generators of all Noether symmetries of the geodetic Lagrangian. Additionally, the structure constants of the associated Lie algebras, the Riemann curvature tensors, and the energy-momentum tensors are obtained for each case. It is worth mentioning that the list contains all classes of solutions that have been obtained earlier during the classification of plane symmetric space-times by isometries and homotheties.http://dx.doi.org/10.1155/2017/4384093 |
| spellingShingle | Bismah Jamil Tooba Feroze Andrés Vargas Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times Advances in Mathematical Physics |
| title | Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times |
| title_full | Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times |
| title_fullStr | Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times |
| title_full_unstemmed | Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times |
| title_short | Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times |
| title_sort | geometrical physical interpretation of the conserved quantities corresponding to noether symmetries of plane symmetric space times |
| url | http://dx.doi.org/10.1155/2017/4384093 |
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