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

2006/08/31 by Donato Bini, D. Bini, Andrea Geralico +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #astro-ph #gr-qc

paper · pdf · doi:10.1016/j.physleta.2006.09.028

published as Phys.Lett.A360:515-517,2007 · 9 pages, els macros

arxiv created 2006/08/31 · openalex publication_date 2006/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The multiyear problem of a two-body system consisting of a Reissner-Nordström 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.

Citations

• A Class of Exact Solutions of Einstein's Field Equations
• Hawking Radiation as Tunneling
• Stability of a Schwarzschild Singularity

Cited by

• Scalar field self-force effects on a particle orbiting a Reissner-Nordström black hole