Distorted black holes in terms of multipole moments
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 kappa-tilde = infinity, and the shear modulus is mu-tilde = -63/(20..pi..M), where M is the hole's mass.
- Research Organization:
- Theoretical Astrophysics 130-33 California Institute of Technology, Pasadena, California 91125
- OSTI ID:
- 6703161
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 34:12; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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