Complete Classification of Cylindrically Symmetric Static Spacetimes and the Corresponding Conservation Laws

Farhad Ali and Tooba Feroze
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Farhad Ali: Department of Mathematics, Kohat University of Science and Technology, Kohat 26000, Pakistan
Tooba Feroze: School of Natural Sciences, National University of Sciences and Technology, Islamabad 45000, Pakistan

Mathematics, 2016, vol. 4, issue 3, 1-15

Abstract: In this paper we find the Noether symmetries of the Lagrangian of cylindrically symmetric static spacetimes. Using this approach we recover all cylindrically symmetric static spacetimes appeared in the classification by isometries and homotheties. We give different classes of cylindrically symmetric static spacetimes along with the Noether symmetries of the corresponding Lagrangians and conservation laws.

Keywords: Noether symmetries; cylindrically symmetric spacetime; first integrals; solutions of Einstein field equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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