Geometrical/physical interpretation of the conserved quantities corresponding to Noether symmetries of plane symmetric space-times

DOI10.1155/2017/4384093zbMath1401.83008OpenAlexW2752944587MaRDI QIDQ1798407

Bismah Jamil, Tooba Feroze, Andrés F. Vargas

Publication date: 23 October 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/4384093

zbMATH Keywords

Riemann curvatureNoether symmetriesplane symmetric space-times

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (3)

A study of energy conditions in non-static spherically symmetric spacetimes via Noether symmetries ⋮ A study of Noether symmetries in LRS Bianchi type V spacetimes ⋮ Positive energy condition and conservation laws in Kantowski-Sachs spacetime via Noether symmetries

Cites Work

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• Classification of plane symmetric static space-times according to their Noether symmetries
• The geometric nature of Lie and Noether symmetries
• Lie and Noether symmetries of geodesic equations and collineations
• Noether symmetries and conservation laws of wave equation on static spherically symmetric spacetimes with higher symmetries
• Conservation laws for some systems of nonlinear PDEs via the symmetry/adjoint symmetry pair method
• Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation
• Approximate Noether symmetries of the geodesic equations for the charged-Kerr spacetime and rescaling of energy
• Symmetries, conservation laws, and wave equation on the Milne metric
• Noether symmetries of the area-minimizing Lagrangian
• The connection between isometries and symmetries of geodesic equations of the underlying spaces
• Corrigendum to ``Noether symmetries and conserved quantities for spaces with a section of zero curvature
• The classification of plane symmetric spacetimes by isometries
• Autonomous three-dimensional Newtonian systems which admit Lie and Noether point symmetries
• Comments on matter collineations of plane symmetric, cylindrically symmetric, and spherically symmetric space–times
• Homothetic motions of spherically symmetric space–times
• Symmetries of static, spherically symmetric space-times
• Classification of static plane symmetric space–times according to their matter collineations
• The classification of static plane symmetric space–times according to their Ricci collineations
• Noether symmetries and isometries of the minimal surface Lagrangian under constant volume in a Riemannian space
• Curvature collineations of some static spherically symmetric space–times
• Symmetry analysis of wave equation on static spherically symmetric spacetimes with higher symmetries
• The geometric origin of Lie point symmetries of the Schrödinger and the Klein–Gordon equations
• Exact Space-Times in Einstein's General Relativity

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