Approximate Noether symmetries from geodetic Lagrangian for plane symmetric spacetimes

DOI10.1142/S0219887815501248zbMath1331.83006arXiv1411.1843OpenAlexW1719129976MaRDI QIDQ3455933

Tooba Feroze, Farhad Ali

Publication date: 11 December 2015

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

Full work available at URL: https://arxiv.org/abs/1411.1843

zbMATH Keywords

gravitational wavesapproximate symmetriesplane symmetric spacetimes

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Equations of motion in general relativity and gravitational theory (83C10) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (6)

Correction to the conservation laws in plane symmetric gravitational wave-like spacetimes ⋮ First order approximate conserved quantities induced by the approximate symmetries of the perturbed Lagrangian ⋮ Cylindrically symmetric gravitational-wavelike space-times ⋮ A study of energy conditions in non-static spherically symmetric spacetimes via Noether symmetries ⋮ Noether symmetry analysis for novel gravitational wave-like spacetimes and their conservation laws ⋮ The second-order correction to the energy and momentum in plane symmetric gravitational waves like spacetimes

Cites Work

• Unnamed Item
• Classification of plane symmetric static space-times according to their Noether symmetries
• Group theoretic methods for approximate invariants and Lagrangians for some classes of \(y^{\prime\prime} + F(t)y^{\prime}+y=f(y,y^{\prime})\)
• On gravitational waves
• Empty space-times admitting a three parameter group of motions

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