An analysis of magnetic field and magnetosphere of neutron star under effect of a shock wave

We consider a model of magnetosphere of a neutron star subjected to a strong shock wave from supernova explosion. In this model a form of magnetosphere’s boundary is determined from the condition of equilibrium between external gas pressure behind the shock and interior magnetic pressure. The field of neutron star is approximated as a point magnetic dipole. The magnetic field is assumed to be potential in circumstellar space. In magnetotail there is a reconnecting current layer, which accumulates an excess magnetic energy. The model under consideration is reduced to consequent solution of two Riemann–Hilbert problems. The obtained analytic solution of the both problems, in particular, shows the presence of reverse current in the current layer. The solution has importance for possibility estimation of directional relativistic plasma jets and impulse bursts of gamma-impulses or hard radiation of other kinds.