GT3 - Einstein-Maxwell Systems |
Speaker_ |
Geralico, Andrea |
Co-autors |
Bini D., Ruffini R. |
Talk _ |
Static pertubations of a Reissner-Nordstr\"om black hole by a charged massive particle |
Abstract _ |
The interaction of a Reissner-Nordstr\"om black hole and a charged massive particle at rest is studied in the framework of perturbation theory. The solutions of the combined Einstein-Maxwell equations for both perturbed gravitational and electromagnetic fields at first order of the perturbation are exactly reconstructed by summing all multipoles, and are given explicit closed form expressions. In this linear approximation an horizon appears to form around the particle location, although its charge to mass ratio is greater than one: this result needs to be further explored and validated by by considering the full non linear problem, namely the corresponding exact two-body solution of the Einstein-Maxwell equations. |