## On the Generalisation of Kepler's 3rd Law for the Vacuum Field of the Point-Mass

**Authors:** Stephen J. Crothers

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.

**Comments:** 6 pages.

**Download:** **PDF**

### Submission history

[v1] 3 Jan 2011

**Unique-IP document downloads:** 57 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*