Pulsar magnetospheres with arbitrary geometry in the forcefree approximation.
Abstract
Some general properties of solutions to the forcefree equations approximating pulsar magnetospheres are derived for large distances (as compared with the light radius) from the neutron star. No geometrical restrictions are imposed, but constraints on an acceptable solution are that it possess a finite energy flux to infinity, that no magnetic monopoles be associated with the system, and that no particle velocity can exceed the speed of light. The results obtained show that: (1) no global solutions exist; (2) any solution will possess at least one magnetic neutral surface; (3) the three magneticfield components in spherical coordinates (r, theta, and phi) decrease respectively as the inverse square, inverse cube, and inverse of radial distance; (4) the far field represents an electromagnetic wave propagating outward everywhere at a fundamental frequency equal to the neutron star's rotational velocity; (5) particle velocities are asymptotically radial and approach the speed of light in such a way that their Lorentz factors increase linearly with distance; and (6) all solutions contain zones where counterstreaming of charged particles occurs along the magnetic field.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 July 1977
 DOI:
 10.1093/mnras/180.2.125
 Bibcode:
 1977MNRAS.180..125B
 Keywords:

 Atmospheric Models;
 ForceFree Magnetic Fields;
 Neutron Stars;
 Pulsar Magnetospheres;
 Pulsars;
 Stellar Atmospheres;
 Approximation;
 Far Fields;
 Magnetic Field Configurations;
 Magnetic Monopoles;
 Neutral Sheets;
 Particle Motion;
 Stellar Magnetic Fields;
 Astrophysics