Black hole entropy in two dimensions.

Black hole entropy is studied for an exactly solvable model of two-dimensional gravity[1], using recently developed Noether charge techniques[2]. This latter approach is extended to accomodate the non-local form of the semiclassical effective action. In the two-dimensional model, the final black hole entropy can be expressed as a local quantity evaluated on the horizon. This entropy is shown to satisfy an increase theorem on either the global or apparent horizon of a two-dimensional black hole. [email protected]