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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Farhad Ali & Tooba Feroze, 2016. "Complete Classification of Cylindrically Symmetric Static Spacetimes and the Corresponding Conservation Laws," Mathematics, MDPI, vol. 4(3), pages 1-15, August.
    • Handle: RePEc:gam:jmathe:v:4:y:2016:i:3:p:50-:d:75535
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