The static perturbations by a point mass on a Schwarzschild black hole background are studied in the framework of first order 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 "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. © 2008 World Scientific Publishing Co. Pte. Ltd.
Static Perturbations by a Point Mass on a Schwarzschild Black Hole / Donato, Bini; Andrea, Geralico; Ruffini, Remo. - (2008), pp. 2137-2139. (Intervento presentato al convegno Eleventh Marcel Grossman Meeting tenutosi a Berlin; Germany nel 23-29 July 2006) [10.1142/9789812834300_0343].
Static Perturbations by a Point Mass on a Schwarzschild Black Hole
RUFFINI, Remo
2008
Abstract
The static perturbations by a point mass on a Schwarzschild black hole background are studied in the framework of first order 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 "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. © 2008 World Scientific Publishing Co. Pte. Ltd.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
