Abstract
We propose a simple analytic model for the innermost (within the light cylinder (LC) of canonical radius ∼c/Ω) structure of open-magnetic-field lines of a rotating neutron star (NS) with relativistic outflow of charged particles (electrons/positrons) and an arbitrary angle between the NS spin and magnetic axes. We present the self-consistent solution of Maxwell's equations for the magnetic field and electric current in the pair-starved regime where the density of electron–positron plasma generated above the pulsar polar cap is not sufficient to completely screen the accelerating electric field and thus establish the E · B = 0 condition above the pair-formation front up to the very high altitudes within the LC. The proposed model may provide a theoretical framework for developing the refined model of the global pair-starved pulsar magnetosphere.
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