Approximate Noether gauge symmetries of Bardeen model

Abstract

We investigate the approximate Noether gauge symmetries of the geodesic Lagrangian for the Bardeen spacetime model. This is accommodated by a set of new approximate Noether gauge symmetry relations for the perturbed geodesic Lagrangian in the spacetime. A detailed analysis to the spacetime of Bardeen model up to third-order approximate Noether gauge symmetries is presented.

arXiv comment7 pages, 1 table, submitted to the EPJC

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• Noether Symmetries and Anisotropic Universe in Energy-Momentum Squared Gravity
• Noether Symmetry Analysis of Anisotropic Universe in Modified Gravity
• Lie and Noether point Symmetries for a Class of Nonautonomous Dynamical Systems
• Classification of the Lie and Noether point symmetries for the Wave and the Klein-Gordon equations in pp-wave spacetimes
• Approximate conditions admitted by classes of the Lagrangian $\mathcal{L}=\frac{1}{2}\left(-u^{\prime 2}+u^2\right)+{\epsilon }^i{G}_i(u,u^{\prime },u^{\prime \prime })$
• Integration of the geodesic equations via Noether Symmetries