Integration of the geodesic equations via Noether Symmetries
| Autor: | Camci, Ugur |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | International Journal of Modern Physics, vol.31, No. 11, 2240011 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0218271822400119 |
| Popis: | Through this article, 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 G\"{o}del-type, Schwarzschild, Reissner-Nordstr\"{o}m and Kerr spacetimes. After obtaining the approximate Noether symmetries of the Schwarzschild, Reissner-Nordstr\"{o}m 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 $s$. Comment: 13 pages, no figures |
| Databáze: | arXiv |
| Externí odkaz: |
|