Integration of the geodesic equations via Noether symmetries

Document Type

Article

Publication Title

International Journal of Modern Physics D

Publication Date

8-1-2022

Abstract

Through this paper, I will overview the use of Noether symmetry approach in discussing the integration of geodesic equations for the geodesic Lagrangians of spacetimes. I will also give some examples to reveal the efficiency of Noether symmetry approach by finding the first integrals related for the geodesic Lagrangians of the Gödel-type, Schwarzschild, Reïssner-Nordström and Kerr spacetimes. After obtaining the approximate Noether symmetries of the Schwarzschild, Reïssner-Nordström and Kerr spacetimes, the first integrals associated with each of approximate Noether symmetries have been integrated to find a general solution of geodesic equations in terms of the arc length s.

Volume

31

Issue

11

DOI

10.1142/S0218271822400119

ISSN

02182718

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