Disturbing the Black Hole
General Relativity and Quantum Cosmology
2007-05-23 v1
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 Reissner--Nordstr\"om 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.
Cite
@article{arxiv.gr-qc/9805045,
title = {Disturbing the Black Hole},
author = {Jacob D. Bekenstein},
journal= {arXiv preprint arXiv:gr-qc/9805045},
year = {2007}
}
Comments
15 pages, LaTeX with crckapb style, to appear in ``The Black Hole Trail'', eds. B. Bhawal and B. Iyer (Kluwer, Dordrecht 1998)