Circular Orbits in the Taub-NUT and mass-less Taub-NUT Space-time

Understand

In this work we study the equatorial causal geodesics of the Taub-NUT (TN) space-time in comparison with \emph{mass-less} TN space-time.

• We emphasized both on the null circular geodesics and time-like circular geodesics.
• From the effective potential diagram of null and time-like geodesics, we differentiate the geodesics structure between TN spacetime and mass-less TN space-time.
• It has been shown that there is a key role of the NUT parameter to changes the shape of pattern of the potential well in the NUT spacetime in comparison with \emph{mass-less} NUT space-time.