Eur. Phys. J. C (2014) 74: 3201
https://doi.org/10.1140/epjc/s10052-014-3201-z

Regular Article - Theoretical Physics

Approximate Noether gauge symmetries of the Bardeen model

Department of Physics, Faculty of Science, Akdeniz University, 07058, Antalya, Turkey

^* e-mail: ucamci@akdeniz.edu.tr

Received: 29 October 2014
Accepted: 21 November 2014
Published online: 9 December 2014

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 of the spacetime of the Bardeen model up to third-order approximate Noether gauge symmetries is presented.