Singularities in a relativistic pulsar wind

Astronomy and Astrophysics – Astronomy

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Magnetohydrodynamics, Pulsars, Magnetic Fields

Scientific paper

The nature of a singularity in a cool, gravitation-free axisymmetrical, relativistic, steady pulsar wind is further investigated, in line with the recent counter-argument of Ardavan (1995 thereafter A95) that the pure Alfven 'singularity' has an equal importance as the Alfven singularity if one defines the singularity via a quadratic form rather than using the ratio as adopted by Li & Melrose (1994). The pure Alfvenic point in Ardavan's analysis coincides with the proposed characteristic point through which a continuous wind will meet the star and infinity. However, we find that the critical point as implied in the quadratic form is in fact the intermediate point (Ardavan 1979), but not the pure Alfvenic point. Thus the analysis of A95 does not indicate any significance of the pure Alfvenic point. We also demonstrate that the intermediate point which appears in the quadratic form of A95 is not genuine.

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