Noether symmetries of vacuum classes of pp-waves and the wave equation

DOI10.1142/S0219887816501097zbMath1367.35173MaRDI QIDQ2830967

Ghulam Shabbir, Sameerah Jamal

Publication date: 1 November 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

symmetrieswave equationspp-wave metrics

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) PDEs in connection with relativity and gravitational theory (35Q75) Second-order hyperbolic equations (35L10) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (9)

Group invariant transformations for the Klein-Gordon equation in three dimensional flat spaces ⋮ Correction to the conservation laws in plane symmetric gravitational wave-like spacetimes ⋮ A note on classification of locally rotationally symmetric Bianchi type I space–times via conformal vector fields in f(T,B) gravity ⋮ Conformal vector fields for some vacuum classes of pp-waves space-times in ghost free infinite derivative gravity ⋮ Noether symmetries for a class of static plane symmetric solutions in f(T) gravity ⋮ Classification of proper non-static cylindrically symmetric perfect fluid space-times via conformal vector fields in f(R) gravity ⋮ Conformal vector fields of some vacuum classes of static spherically symmetric space-times in f(T,B) gravity ⋮ pp-wave potential functions: A complete study using Noether symmetries ⋮ Potentials and point symmetries of Klein–Gordon equations in space-time homogenous Gödel-type metrics

Cites Work

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• Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation
• Noether gauge symmetry classes for pp-wave spacetimes
• Exact Solutions of Einstein's Field Equations
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• Wave equation on spherically symmetric Lorentzian metrics
• The geometric origin of Lie point symmetries of the Schrödinger and the Klein–Gordon equations

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