Gravitomagnetic effects and cosmic strings

In this paper, some gravitomagnetic effects are explored in the presence of cosmic strings. In particular, the gravitomagnetic clock effects and gyroscope precession are considered in the equatorial plane of a spacetime that is the nonlinear superposition of a Kerr black hole with a cosmic string along its axis of rotation. Moreover, an exact solution of the Einstein field equations corresponding to the Gödel universe with a cosmic string is introduced. The influence of the cosmic string on the gravitomagnetic effects in this spacetime is briefly studied.