Difference between revisions of "On the Generalisation of Kepler's 3rd Law for the Vacuum Field of the Point-Mass"
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==Abstract== | ==Abstract== | ||
| − | I derive herein a general form of Kepler?s 3rd Law for the general solution to Einstein?s vacuum field. I also obtain stable orbits for photons in all the configurations of the point-mass. Contrary to the accepted theory, Kepler?s 3rd Law is modified by General Relativity and leads to a finite angular velocity as the proper radius of the orbit goes down to zero, without the formation of a black hole. Finally, I generalise the expression for the potential function of the general solution for the point-mass in the weak field. | + | I derive herein a general form of Kepler?s 3rd Law for the general solution to Einstein?s vacuum field. I also obtain stable orbits for photons in all the configurations of the point-mass. Contrary to the accepted theory, Kepler?s 3rd Law is modified by General Relativity and leads to a finite angular velocity as the proper radius of the orbit goes down to zero, without the formation of a black hole. Finally, I generalise the expression for the potential function of the general solution for the point-mass in the weak field. |
| − | [[Category:Relativity]] | + | [[Category:Scientific Paper|generalisation kepler 's rd law vacuum field point-mass]] |
| + | |||
| + | [[Category:Relativity|generalisation kepler 's rd law vacuum field point-mass]] | ||
Latest revision as of 19:47, 1 January 2017
| Scientific Paper | |
|---|---|
| Title | On the Generalisation of Kepler\'s 3rd Law for the Vacuum Field of the Point-Mass |
| Author(s) | Stephen John Crothers |
| Keywords | Kepler's 3rd Law, Vacuum Field, Point-Mass |
| Published | 2005 |
| Journal | Progress In Physics |
| Volume | 2 |
| Pages | 70-75 |
Abstract
I derive herein a general form of Kepler?s 3rd Law for the general solution to Einstein?s vacuum field. I also obtain stable orbits for photons in all the configurations of the point-mass. Contrary to the accepted theory, Kepler?s 3rd Law is modified by General Relativity and leads to a finite angular velocity as the proper radius of the orbit goes down to zero, without the formation of a black hole. Finally, I generalise the expression for the potential function of the general solution for the point-mass in the weak field.
