The multiyear problem of a two-body system consisting of a ReissnerNordström black hole and a charged massive particle at rest is here solved by an exact perturbative solution of the full EinsteinMaxwell system of equations. The expressions of the metric and of the electromagnetic field, including the effects of the electromagnetically induced gravitational perturbation and of the gravitationally induced electromagnetic perturbation, are presented in closed analytic formulas.
On the equilibrium of a charged massive particle in the field of a Reissner-Nordstrom black hole
Bini D;
2007
Abstract
The multiyear problem of a two-body system consisting of a ReissnerNordström black hole and a charged massive particle at rest is here solved by an exact perturbative solution of the full EinsteinMaxwell system of equations. The expressions of the metric and of the electromagnetic field, including the effects of the electromagnetically induced gravitational perturbation and of the gravitationally induced electromagnetic perturbation, are presented in closed analytic formulas.File in questo prodotto:
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