Hawking-like radiation of charged particles via tunneling across the lightcylinder of a rotating magnetosphere

In rotating magnetospheres planted on compact objects, there usually exist lightcylinders (LC), beyond which the rotation speed of magnetic field lines exceeds light. The LC is a close analog to horizon in gravity, and casual boundary for charged particles that are restricted move along lines. this work, it proposed should be Hawking-like radiation from magnetosphere point view tunneling by using sheet metric.