Study of Geodesics and the Frame-dragging effect in a Rotating Traversable Wormhole

ABSTRACT

The complete equatorial causal geodesic structure of a rotating traversable wormhole is analyzed and it has been shown that the ISCO (Innermost Stable Circular Orbit) coincides at the throat of the wormhole for the retrograde rotation. By studying the effective potential we also find the radius of the circular photon orbit. The Periastron precession frequency and the nodal precession frequency have been derived for both of the direct and retrograde rotation. Moreover, we derive the exact Lense-Thirring precession frequency of a test gyro for the said wormhole and we show that this frequency is inversely proportional to the angular momentum a of the wormhole along the pole in a certain range of r(r-16a2-) whereas it is directly proportional to the angular momentum of the spacetime for the other compact objects like black holes and pulsars.