Equilibrium in the oblique rotating outer pulsar magnetosphere

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Magnetohydrodynamic Stability, Plasma Equilibrium, Pulsar Magnetospheres, Pulsars, Stellar Rotation, Corotation, Current Density, Magnetic Fields, Orthogonality, Velocity Distribution

Scientific paper

A simple solution to the problem of plasma equilibrium outside the velocity-of-light cylinder of the oblique rotating pulsar magnetosphere is presented. The magnetic field has a swept-back, open spiral structure with zero axial component. The corotational motion of the plasma just inside the velocity-of-light cylinder transits to radial motion at large radius while maintaining highly relativistic speed throughout. There are no streaming currents along the magnetic field lines, but, in addition to a net charge density and associated convection current density, there is a non-force-free axial current density which is arbitraily large at the velocity-of-light cylinder but gives a finite current when integrated over radius. This axial current density is directly responsible for pulses of coherent radiation. The solution presented applies independently of the inclination angle and nondipolar content of the source magnetic field of the pulsar and includes both the axisymmetric field and the fully oblique or orthogonal field as special cases. It is a plasma equilibrium solution, with any similarities to vacuum fields, particularly outside the velocity-of-light cylinder, being purely coincidental.

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