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.
CITATION STYLE
Bekenstein, J. D. (1999). Disturbing the Black Hole. In Black Holes, Gravitational Radiation and the Universe (pp. 87–102). Springer Netherlands. https://doi.org/10.1007/978-94-017-0934-7_6
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