Disturbing the Black Hole

Details Disturbing the Black Hole Disturbing the Black Hole

1998-05-13

arxiv.org/abs/gr-qc/9805045v1

"Black Holes, Gravitational Radiation and the Universe, eds. Bala R. Iyer and Biplab Bhawal (Kluwer, Dordrecht 1999), pp. 87-1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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.

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