GT4 - Inertial Forces, Optical Metrics and Particle Motion Properties |
Speaker_ |
Geralico, Andrea |
Co-autors |
Bini D., Ruffini R. |
Talk _ |
Static perturbations by a point mass on a Schwarzschild black hole |
Abstract _ |
The static perturbations by a point mass on a Schwarzschild black hole background are studied in the framework of perturbation theory. It is shown that a solution free of singularities cannot exist using the standard approach by Regge and Wheeler. Adopting a different gauge allows to find the explicit form of the perturbation corresponding to a stable configuration, characterized by the presence of a \lq\lq strut'' between the particle and the black hole. The resulting perturbed metric with a conical singularity is shown to be the linearized form of the exact solution for two collinear uncharged black holes in static configuration belonging to the Weyl class. |