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Relativistic Electrodynamics of Spinning Compact Objects

Hongsu Kim·Hyung Mok Lee·Chul H. Lee·Hyun Kyu Lee
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Abstract

A theoretical study of some electrodynamic features of a region close to a {\it slowly-rotating} magnetized relativistic star is performed. To be a little more specific, based on the solution-generating method given by Wald, the magnetic fields around both uncharged and (slightly) charged relativistic stars have been obtained. Particularly for a charged relativistic star, again following the argument by Wald, the star was shown to gradually accrete charge until it reached an equilibrium value $\tilde{Q}=2B_{0}J$. This value of the equilibrium charge seems to be generic as a rotating black hole is known to accrete exactly the same amount. Although these results are equally relevant to all species of slowly-rotating relativistic stars, we particularly have the rotating neutron star in mind. As such, it would be of some interest to attempt to make contact with a real pulsar case. Thus, we discuss how many of the theoretical results obtained in the present work can be carried over to a realistic, general relativistic description of a pulsar's magnetosphere.

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Hongsu Kim, Hyung Mok Lee, Chul H. Lee, Hyun Kyu Lee. 2006-03-16. Relativistic Electrodynamics of Spinning Compact Objects. https://arxiv.org/abs/astro-ph/0603411

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