Approximate symmetries and conservation laws of the geodesic equations for the Schwarzschild metric

DOI10.1007/S11071-007-9201-XzbMath1173.83007OpenAlexW2114133702MaRDI QIDQ840362

Asghar Qadir, F. M. Mahomed, Abdul Hamid Kara

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-007-9201-x

zbMATH Keywords

conservation lawsgeodesic equationsapproximate symmetriesSchwarzschild metric

Mathematics Subject Classification ID

Black holes (83C57) 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)

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Cites Work

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• Linearization criteria for a system of second-order quadratically semi-linear ordinary differential equations
• Group theoretic methods for approximate invariants and Lagrangians for some classes of \(y^{\prime\prime} + F(t)y^{\prime}+y=f(y,y^{\prime})\)
• The connection between isometries and symmetries of geodesic equations of the underlying spaces
• The number of two-dimensional maxima
• Closed orbits and their stable symmetries
• Symmetries and differential equations

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