Huge entropy production inside black holes

We show that the entropy created by Ohmic dissipation inside an accreting charged black hole may exceed the Bekenstein-Hawking entropy by a large factor. If the black hole subsequently evaporates, radiating only the Bekenstein-Hawking entropy, then the black hole appears to destroy entropy, violating the second law of thermodynamics. A companion paper discusses the implications of this startling result. Bousso's covariant entropy bound is not violated.
Comment: Version 2: Title, abstract, introduction, figure 2, and discussion completely rewritten. Body of text largely unchanged. Version 3: Paper has been split into two. This paper now confines itself to presenting the general relativistic model. A companion paper, arXiv:0903.2290, discusses the quantum gravity implications