TL;DR
This paper explores approximate Noether gauge symmetries in the Bardeen spacetime model's geodesic Lagrangian, providing new symmetry relations and analyzing symmetries up to third order.
Contribution
It introduces novel approximate Noether gauge symmetry relations for the perturbed geodesic Lagrangian in Bardeen spacetime and performs a detailed third-order symmetry analysis.
Findings
Derived new approximate Noether gauge symmetry relations.
Identified symmetries up to third order in perturbation.
Enhanced understanding of symmetries in Bardeen black hole spacetime.
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.
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