Distorted black holes in terms of multipole moments
Abstract
In terms of a multipolemoment formalism previously developed for nonasymptoticallyflat systems in general relativity, the metric of a Schwarzschild black hole in an external quadrupolar gravitational field is studied. Among other results, we find that the black hole develops an induced quadrupole moment, which in turn generates a tidal field opposing the applied field. This effect, plus the fact that the horizon cannot expand when a quasistatic tidal force is applied, can be described in terms of effective 2dimensional elastic moduli for the blackhole horizon. The bulk modulus is κ~=∞, and the shear modulus is μ~=63/(20πM), where M is the hole's mass.
 Publication:

Physical Review D
 Pub Date:
 December 1986
 DOI:
 10.1103/PhysRevD.34.3633
 Bibcode:
 1986PhRvD..34.3633S
 Keywords:

 04.20.Cv;
 04.20.Me;
 97.60.Lf;
 Fundamental problems and general formalism;
 Black holes