Genuine tripartite nonlocality of GHZ state in noninertial frames

We study the genuine tripartite nonlocality of Dirac fields in the noninertial frame while one or two observers are accelerated. We apply the Svetlichny inequalities and MABK inequalities to detect the local realistic description. It is difficult to calculate the Svetlichny inequalities for general states. Thus, we investigate the nonlocality of a tripartite GHZ state system in the noninertial frame. There are some subsystems violating the Svetlichny inequalities, which implies those subsystems are genuine tripartite nonlocality. But we find that all tripartite subsystems in the noninertial frames satisfy the MABK inequalities. These results may suggest that Svetlichny inequality is a better way than MABK inequality to research the local realistic description.