Quasineutral plasma equilibria in a Kerr metric

Details Quasineutral plasma equilibria in a Kerr metric Quasineutral plasma equilibria in a Kerr metric

Jan 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phrvd..65b4015e&link_type=abstract

Physical Review D, vol. 65, Issue 2, id. 024015

Physics

Fluid Dynamics

2

Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Classical Black Holes, Relativistic Plasmas, Black Holes

Scientific paper

The close relation between constants of motion in single-particle dynamics and free flux functions of ideal fluid dynamics near a rotating black hole is shown. Maxwell's equations are exactly solved for axisymmetric quasi-neutral plasma equilibria of constant temperature in a Kerr metric. The remaining fluid equations for particle densities and stream functions χj have been solved algebraically for an electron-positron plasma with nonrelativistic poloidal velocity, using two different sets of flux functions. Equilibria with relativistic ions lead to a single equation for χi which can be solved by a modified Grad-Shafranov code.

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