Rermarks on the Lorentz symmetry breaking effects on the Wigner rotation and relativistic EPR correlations in the cosmic string spacetime

We investigate the effects of the Lorentz symmetry violation on the Wigner rotation in cosmic string spacetime through the Fermi-Walker transport of spinors. We establish two possible scenarios of the Lorentz symmetry violation in cosmic string spacetime. Then, we analyse the effects of the topology of the cosmic string spacetime, the accelerated motion of the particle, the position of the observers and the Lorentz symmetry violation background on the Wigner rotation angle. In addition, we analyse these effects on the relativistic EPR (Einstein-Podolsky-Rosen) correlations and Bell’s inequality.