Pulsar Magnetospheres: Beyond the Flat Spacetime Dipole

TL;DR

This paper develops an analytical framework for studying the axisymmetric force-free magnetosphere of slowly rotating pulsars, incorporating general relativity and complex magnetic field components, revealing significant effects on polar cap structure and magnetic field estimates.

Contribution

It introduces a general analytical method for axisymmetric force-free magnetospheres of rotating stars with arbitrary magnetic fields, including relativistic effects, beyond the simple dipole model.

Findings

Spacelike current presence in polar caps suggests pair production regions.

Relativistic effects cause about 60% correction to magnetic field estimates from spindown.

Higher magnetic moments significantly alter polar cap shape and location.

Abstract

Most studies of the pulsar magnetosphere have assumed a pure magnetic dipole in flat spacetime. However, recent work suggests that the effects of general relativity are in fact of vital importance and that realistic pulsar magnetic fields will have a significant nondipolar component. We introduce a general analytical method for studying the axisymmetric force-free magnetosphere of a slowly-rotating star of arbitrary magnetic field, mass, radius and moment of inertia, including all the effects of general relativity. We confirm that spacelike current is generically present in the polar caps (suggesting a pair production region), irrespective of the stellar magnetic field. We show that general relativity introduces a ~60% correction to the formula for the dipolar component of the surface magnetic field inferred from spindown. Finally, we show that the location and shape of the polar caps can be modified dramatically by even modestly strong higher moments. This can affect emission processes occurring near the star and may help explain the modified beam characteristics of millisecond pulsars.