Classification of Plane Symmetric Static Space-Times According to Their Noether Symmetries |
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Authors: | Farhad Ali Tooba Feroze |
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Affiliation: | 1. Center For Advanced Mathematics and Physics, National University of Sciences and Technology, H-12, Islamabad, Pakistan
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Abstract: | In this paper we give a classification of plane symmetric static space-times using symmetry method. For this purpose we consider the Lagrangian corresponding to the general plane symmetric static metric in the Noether symmetry equation. This provides a system of determining equations. Solutions of this system give us classification of the plane symmetric static space-times according to their Noether symmetries. During this classification we recover all the results listed in Feroze et al. (J. Math. Phys. 42:4947, 2001) and Bashir and Ehsan (Il Nuovo Cimento B 123:1, 2008). |
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