---

The structure of solutions of the geodesic equations in general axially symmetric space-times can be very complex and differs significantly from the plane conic sections of Newtonian gravity. Each space-time exhibits an individual set of geodesics which allows to conclude from the observation of orbits on the physical properties of the underlying space-time. The complete set of solutions of the geodesic equation in a given space-time can be studied most conveniently by using analytical methods. In the case of type D space-times with separable Hamilton-Jacobi equation the analytical solutions can be constructed in terms of elliptic or the more general hyperelliptic functions. In this talk the structure of orbits and the construction of analytical solutions will be exemplified in some type D space-times.

---

Dr. Eva Hackmann, Universität Bremen
Seminarraum Theoretische Physik
Contact: not specified