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Mathematics 2016, 4(3), 50; doi:10.3390/math4030050

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

1
Department of Mathematics, Kohat University of Science and Technology, Kohat 26000, Pakistan
2
School of Natural Sciences, National University of Sciences and Technology, Islamabad 45000, Pakistan
*
Author to whom correspondence should be addressed.
Academic Editor: Palle E.T. Jorgensen
Received: 3 May 2016 / Revised: 18 July 2016 / Accepted: 22 July 2016 / Published: 8 August 2016
View Full-Text   |   Download PDF [283 KB, uploaded 8 August 2016]

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. View Full-Text
Keywords: Noether symmetries; cylindrically symmetric spacetime; first integrals; solutions of Einstein field equations Noether symmetries; cylindrically symmetric spacetime; first integrals; solutions of Einstein field equations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Ali, F.; Feroze, T. Complete Classification of Cylindrically Symmetric Static Spacetimes and the Corresponding Conservation Laws. Mathematics 2016, 4, 50.

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