| Title | A theorem of beltrami and the integration of the geodesic equations |
|---|---|
| Publication Type | Presentazione a Congresso |
| Year of Publication | 2008 |
| Authors | Boccaletti, D., Catoni F., Cannata R., and Zampetti P. |
| Conference Name | 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity |
| Conference Location | Berlin |
| Keywords | Beltrami, General solutions, Geodesic equations, geodesy, Gravitation, Hamilton-Jacobi, Integral equations, Relativity, Schwarzschild |
| Abstract | We revisit a not widely known theorem due to Beltrami, through which the integration of the geodesic equations of a curved manifold is accomplished by a method which is purely geometric although inspired by the Hamilton-Jacobi method. The application of the theorem to Schwarzschild and Kerr metrics leads straight to the general solution of their geodesic equations. As a consequence, we re-obtain the results of Droste and Schwarzschild and of Carter and Walker-Penrose in a simpler way. © 2008 World Scientific Publishing Co. Pte. Ltd. |
| URL | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84892989751&partnerID=40&md5=944f1cca30a5741c5853e0a6eef6efe8 |
| Citation Key | Boccaletti20082261 |
