The propagation of X-ray or gamma-ray radiation in the electromagnetic field of a relativistically rotating pulsar is studied within the framework of vacuum nonlinear electrodynamics (NED). Metric tensors are constructed, along the geodesics along which two normal waves propagate in the strong electromagnetic field of a relativistically rotating pulsar. The laws of motion of two X-ray or gamma-ray pulses carried by these normal waves are indicated in a parametric form. The parameter in a specially selected coordinate system is the z coordinate. Tangent vectors to the rays are constructed, and the laws of ray curvature are investigated with their help when the z parameter changes from the point of emission of X-ray or gamma-ray pulses to the detector. It is shown that these rays are bent in two mutually perpendicular planes. This circumstance leads to a modification of the NED lensing effect compared to the NED lensing observed in the electromagnetic field of a slowly rotating pulsar.
Seidaliyeva et al. (Sun,) studied this question.