Non-Integrability of Geodesic dynamics of Chazy-Curzon space-time

Georgi Georgiev

We study the integrability of the geodesic equations of the Chazy- Curzon space-time. It was established that for the equilibrium point $p_{\rho }=p_z=z=0$ and, ${\rho }_0\in (1,2)$, there…