The pulsar equation including the inertial term - Its first integrals and its Alfvenic singularity

Details The pulsar equation including the inertial term - Its first integrals and its Alfvenic singularity The pulsar equation including the inertial term - Its first integrals and its Alfvenic singularity

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...204..889a&link_type=abstract

Astrophysical Journal, vol. 204, Mar. 15, 1976, pt. 1, p. 889-896.

Mathematics

18

Conservation Equations, Force-Free Magnetic Fields, Pulsar Magnetospheres, Pulsars, Stellar Atmospheres, Flow Velocity, Magnetohydrodynamic Flow, Relativistic Velocity, Singularity (Mathematics)

Scientific paper

The inertial term has been included in the pulsar equation and the first integrals of two components of the resulting equation which express the conservations of energy and angular momentum are explicitly derived. The Alfvenic critical point of these first integrals is shown to lie within the light cylinder, and the critical conditions which have to be satisfied at the Alfvenic and the light-cylinder singularities are specified. These critical conditions indicate that in the limiting case of a massless plasma, where the Alfven cylinder and the light cylinder are coincident, all continuous solutions of the pulsar equation become unphysical beyond the Alfven cylinder. At this surface, the solutions - independently of the boundary conditions at the neutron star - predict a Lorentz factor for the plasma which is infinite. It is therefore concluded that the forcefree models of a pulsar magnetosphere are not tenable, and that, at the light cylinder, besides the inertial forces the pressure and the viscous forces must also be included in the pulsar equation.

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