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arXiv · 0904.0232

A method of incorporating general relativity in electromagnetic particle-in-cell code

Michael Watson·Ken-Ichi Nishikawa
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Abstract

An algorithm is presented that incorporates the tensor form of Maxwell's equations in a general relativistic electromagnetic particle-in-cell code. The code simplifies to Schwartzschild space-time for a non-spinning central mass. The particle advance routine uses a fourth-order Runge-Kutta algorithm to integrate the four-velocity form of Lorentz force. The current density is calculated using the curved space-time of the metric.

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Michael Watson, Ken-Ichi Nishikawa. 2009-04-01. A method of incorporating general relativity in electromagnetic particle-in-cell code. https://doi.org/10.1016/j.cpc.2010.06.034

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