Equilibrium of charged dust in general relativity

Details Equilibrium of charged dust in general relativity Equilibrium of charged dust in general relativity

Jun 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980gregr..12..453b&link_type=abstract

General Relativity and Gravitation, vol. 12, June 1980, p. 453-465.

Mathematics

18

Charge Distribution, Charged Particles, Cosmic Dust, Equilibrium Equations, Mass Distribution, Relativity, Electric Potential, Harmonic Functions, Numerical Integration, Singularity (Mathematics)

Scientific paper

Equilibrium of charged dust is studied in both the classical and relativistic theories. It is already known that the configuration of the dust is arbitrary if the ratio of the charge to mass densities is everywhere plus or minus 1 (in relativistic units). It is shown that there are equilibrium configurations for certain other values, including nonuniform ones. The solutions in these cases are arbitrary up to the choice of a harmonic function and a function of the electrostatic potential. In general they contain singularities.

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