Ultrarelativistic gravity and extremely energetic cosmic ray

Two main factors are taken into account when describing the behavior of energetic cosmic rays near black holes: the strong magnetic field and gravity, which determines the geodesic motion of the particles. We draw attention to the third factor: since cosmic ray particles have a nonzero spin, the spin-gravity coupling can play an important role in the ultrarelativistic regime. The reaction of the spinning particle on the gravitomagnetic components of the field of the fast-moving Schwarzschild mass is considered. Some examples and numerical estimations are presented.