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The geometric nature of approximate Noether gauge symmetries

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Abstract

We find the geometrical set of equations corresponding to the approximate Noether gauge symmetry conditions of the perturbed geodesic Lagrangian for spacetimes. Using the obtained new set of approximate Noether symmetry equations which involves exact, first-order and second-order metrics, we calculate exact, first-order and second-order approximate Noether gauge symmetry vectors of the geodesic Lagrangian for the potential function defining the dynamical system in spacetimes. We apply our geometrical method to each of the Schwarzschild metric and Reissner–Nordström metric.

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Acknowledgments

This work was supported by Akdeniz University, Scientific Research Projects Unit (BAP) under project number 2013.01.115.003.

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

    Ugur Camci

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  1. Ugur Camci
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Correspondence to Ugur Camci.

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Camci, U. The geometric nature of approximate Noether gauge symmetries. Gen Relativ Gravit 46, 1824 (2014). https://doi.org/10.1007/s10714-014-1824-x

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  • DOI: https://doi.org/10.1007/s10714-014-1824-x

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