On the equilibrium of a charged massive particle in the field of a Reissner-Nordström black hole

Details On the equilibrium of a charged massive particle in the field of a Reissner-Nordström black hole On the equilibrium of a charged massive particle in the field of a Reissner-Nordström black hole

2006-08-31

arxiv.org/abs/gr-qc/0608139v1

Phys.Lett.A360:515-517,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, els macros

Scientific paper

10.1016/j.physleta.2006.09.028

The multiyear problem of a two-body system consisting of a Reissner-Nordstr\"om black hole and a charged massive particle at rest is here solved by an exact perturbative solution of the full Einstein-Maxwell 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.

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