Approximate Partial Noether Operators of the Schwarzschild Spacetime

DOI10.1142/S1402925110000556zbMath1192.83032OpenAlexW2054797680MaRDI QIDQ3565168

Ibrar Hussain, F. M. Mahomed, Asghar Qadir

Publication date: 2 June 2010

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925110000556

zbMATH Keywords

Schwarzschild space-timeperturbed Lagrangianapproximate partial Noether operators

Mathematics Subject Classification ID

Black holes (83C57) Perturbation theory of linear operators (47A55) Explicit solutions, first integrals of ordinary differential equations (34A05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (2)

A study of energy conditions in non-static spherically symmetric spacetimes via Noether symmetries ⋮ FOURTH-ORDER PATTERN FORMING PDES: PARTIAL AND APPROXIMATE SYMMETRIES

Cites Work

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• Variational principles for second-order quasi-linear scalar equations
• Approximate symmetries and conservation laws of the geodesic equations for the Schwarzschild metric
• Group theoretic methods for approximate invariants and Lagrangians for some classes of \(y^{\prime\prime} + F(t)y^{\prime}+y=f(y,y^{\prime})\)
• Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter
• Approximate Noether symmetries
• Noether-type symmetries and conservation laws via partial Lagrangians
• Noether, partial Noether operators and first integrals for a linear system
• APPROXIMATE SYMMETRIES
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Lie Algebras of Approximate Symmetries
• Approximate generalized symmetries, normal forms and approximate first integrals

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