Spherically symmetric charged dust distributions in general relativity

Details Spherically symmetric charged dust distributions in general relativity Spherically symmetric charged dust distributions in general relativity

May 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975anihp..22..229r&link_type=abstract

Institut Henri Poincare, Annales, Section A - Physique Theorique, vol. 22, Apr. 1-May 15, 1975, p. 229-240.

Mathematics

13

Charge Distribution, Cosmic Dust, Cosmology, Relativity, Anisotropy, Astronomical Models, Einstein Equations, Electric Fields, Electrostatics, Gravitational Collapse, Integral Calculus, Mass Ratios, Maxwell Equation, Metric Space, Schwarzschild Metric, Singularity (Mathematics)

Scientific paper

The paper investigates the general dynamics of charged dust distributions with spherical symmetry. Conditions for collapse and oscillation are investigated. It is shown that if the ratio of matter density to charge density is constant, there can be no regular oscillation. Some static and nonstatic solutions with singularity at the origin are discussed. A static solution continuous with a Schwarzschild field on one side and with the Reissner-Nordstrom metric on the other suggests that a star may have around it a shell of charged dust in equilibrium with arbitrarily large charge-mass ratio.

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