Cylindrically symmetric gravitational-wavelike space-times

DOI10.1134/S0040577917110101zbMath1384.83004OpenAlexW2774831862MaRDI QIDQ1703259

Tooba Feroze, Farhad Ali

Publication date: 1 March 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577917110101

zbMATH Keywords

Noether theoremfirst integralgravitational waveEinstein field equationNoether symmetry equation

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Exact solutions to problems in general relativity and gravitational theory (83C15) Gravitational waves (83C35)

Related Items (2)

Correction to the conservation laws in plane symmetric gravitational wave-like spacetimes ⋮ Classification of proper non-static cylindrically symmetric perfect fluid space-times via conformal vector fields in f(R) gravity

Cites Work

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• Classification of plane symmetric static space-times according to their Noether symmetries
• Noether gauge symmetry for \(f(R)\) gravity in Palatini formalism
• Complete classification of cylindrically symmetric static spacetimes and the corresponding conservation laws
• On gravitational waves
• Approximate Noether symmetries from geodetic Lagrangian for plane symmetric spacetimes
• Approximate First Integrals of a Chaotic Hamiltonian System
• Approximate Conserved Quantities of Conservative Dynamical Systems inR³
• Hamilton's Principle and the Conservation Theorems of Mathematical Physics
• Approximate generalized symmetries, normal forms and approximate first integrals

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