Physics
Scientific paper
Apr 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..395h&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 18, April 1986, p. 395-410.
Physics
5
Charge Distribution, Field Theory (Physics), Gravitational Collapse, Ideal Fluids, Maxwell Equation, Relativity, Electrostatics, Equations Of State, Riccati Equation, Spheres
Scientific paper
A perfect fluid approach is taken to obtain an exact solution to the Einstein-Maxwell equations for the static distribution of a charged sphere. The question is of interest because it is theorized that the collapse of a spherical mass to a singularity will be averted if the mass possesses a charge, which eventually counterbalances the gravitational force. The solution technique involves reducing the field equations for the spherically symmetric distributions of a charged perfect fluid to a first-order nonlinear differential Ricatti equation. The equations are linearized in conventional and isotropic coordinate systems. Sample applications are provided of applying the method to techniques developed by other researchers, noting that the method is effective only if the perfect fluid has a barytropic state equation.
Hajj-Boutros Joseph
Sfeila J.
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