paper

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

arXiv:0904.0232 · doi:10.1016/j.cpc.2010.06.034

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.

17 pages, 8 figures

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