Distorted black holes in terms of multipole moments

Details Distorted black holes in terms of multipole moments Distorted black holes in terms of multipole moments

Dec 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..34.3633s&link_type=abstract

Physical Review D (Particles and Fields), Volume 34, Issue 12, 15 December 1986, pp.3633-3637

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12

Fundamental Problems And General Formalism, Black Holes

Scientific paper

In terms of a multipole-moment formalism previously developed for non-asymptotically-flat 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 2-dimensional elastic moduli for the black-hole horizon. The bulk modulus is κ~=∞, and the shear modulus is μ~=-63/(20πM), where M is the hole's mass.

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