Static Perturbations by a Point Mass on a Schwarzschild Black Hole

Details Static Perturbations by a Point Mass on a Schwarzschild Black Hole Static Perturbations by a Point Mass on a Schwarzschild Black Hole

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2137b&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Physics

Scientific paper

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.

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