Black hole thermodynamics and information loss in two dimensions
Black hole evaporation is investigated in a (1+1)-dimensional model of quantum gravity. Quantum corrections to the black hole entropy are computed, and the fine-grained entropy of the Hawking radiation is studied. A generalized second law of thermodynamics is formulated, and shown to be valid under suitable conditions. It is also shown that, in this model, a black hole can consume an arbitrarily large amount of information.
©1994 The American Physical Society. Received 23 March 1994. We have benefited from discussions with S. Das, L. Thorlacius, and especially S. Mathur. This work was supported in part by the U.S. Department of Energy under Grant No. DOE-91ER40618 and Grant No. DEFG03-92-ER40701.