Disturbing the Black Hole
Abstract
I describe some examples in support of the conjecture that the horizon area of a near equilibrium black hole is an adiabatic invariant. These include a Schwarzschild black hole perturbed by quasistatic scalar fields (which may be minimally or nonminimally coupled to curvature), a Kerr black under the influence of scalar radiation at the superradiance treshold, and a ReissnerNordström black hole absorbing a charge marginally. These clarify somewhat the conditions under which the conjecture would be true. The desired ``adiabatic theorem'' provides an important motivation for a scheme for black hole quantization.
 Publication:

Black Holes, Gravitational Radiation, and the Universe: Essays in Honor of C.V. Vishveshwara
 Pub Date:
 1999
 arXiv:
 arXiv:grqc/9805045
 Bibcode:
 1999bhgr.conf...87B
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 15 pages, LaTeX with crckapb style, to appear in ``The Black Hole Trail'', eds. B. Bhawal and B. Iyer (Kluwer, Dordrecht 1998)