Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times

Autor: Bismah Jamil, Tooba Feroze, Andrés Vargas
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2017 (2017)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2017/4384093
Popis: 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.
Databáze: Directory of Open Access Journals
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