The statistical origin of the entropy of charged black holes in models of induced Einstein-Maxwell gravity is investigated. The constituents inducing the Einstein-Maxwell action are charged and interact with an external gauge potential. This new feature, however, does not change the divergences of the statistical-mechanical entropy of the constituents near the horizon. It is demonstrated that the mechanism of the generation of Bekenstein-Hawking entropy in induced gravity is universal and it is basically the same for charged and neutral black holes. The concrete computations are carried out for induced Einstein-Maxwell gravity with a negative cosmological constant in three space-time dimensions.

• Received 1 October 1999

DOI:https://doi.org/10.1103/PhysRevD.61.064010