The deflection angle of a gravitational source with a global monopole in the strong field limit

We investigate the gravitational lensing effect in the strong field background around the Schwarzschild black hole with extremely small mass and solid deficit angle subject to the global monopole by means of the strong field limit issue. We obtain the angular position and magnification of the relativistic images and show that they relate to the global monopole parameter eta. We discuss that with the increase of the parameter eta, the minimum impact parameter u(m) and angular separation s increase and the relative magnification r decreases. We also find that s grows extremely as the increasing parameter eta becomes large enough. The deflection angle will become larger when the parameter eta grows. The effect from the solid deficit angle is the dependence of angular position, angular separation, relative magnification and deflection angle on the parameter eta, which may offer a way to characterize some possible distinct signatures of the Schwarzschild black hole with a solid deficit angle associated with the global monopole.