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

Author

Listed:
  • Bismah Jamil
  • Tooba Feroze
  • Andrés Vargas

Abstract

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.

Suggested Citation

  • Bismah Jamil & Tooba Feroze & Andrés Vargas, 2017. "Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space‐Times," Advances in Mathematical Physics, John Wiley & Sons, vol. 2017(1).
    • Handle: RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:4384093
    DOI: 10.1155/2017/4384093
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    References listed on IDEAS

    as
    1. Adnan Aslam & Asghar Qadir, 2012. "Noether Symmetries of the Area-Minimizing Lagrangian," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, October.
    2. Ahmad M. Ahmad & Ashfaque H. Bokhari & F. D. Zaman, 2012. "Symmetries, Conservation Laws, and Wave Equation on the Milne Metric," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Ahmad M. Ahmad & Ashfaque H. Bokhari & F. D. Zaman, 2012. "Symmetries, Conservation Laws, and Wave Equation on the Milne Metric," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-7, December.
    4. Adnan Aslam & Asghar Qadir, 2012. "Noether Symmetries of the Area‐Minimizing Lagrangian," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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