ON THE SELF-CONSISTENT MODEL OF AN AXISYMMETRICAL RADIO PULSAR MAGNETOSPHERE

We consider a model of axisymmetric neutron star magnetospheres. In ou r approach, the current density in the region of open field lines is c onstant and the returning current flows in a narrow layer along the se paratrix. In this case, the stream equation describing the magnetic he ld structure is linear both in the open and closed regions; the main p roblem is matching the solutions along the separatrix, We demonstrate that it is the stability condition on the separatrix that allows us to obtain a unique solution of the problem. In particular, the zero poin t of magnetic field is shown to be located near the light cylinder. Mo reover, the hypothesis of the existence of the non-linear Ohm's Law, c onnecting the potential drop in the pair creation region and the longi tudinal electric current flowing in the magnetosphere, is confirmed.