Anomalous absorption coefficients in the AdS-II

T. A. Zald, M. M. Mavromatos, A. M. S. Gevis
Comments: 15 pages, 1 figure

We consider the AdS-II in the vicinity of a single black hole and compute the anomalous absorption coefficients within the bias-dependent area law. The differential equation of motion in the AdS-II is described by the linearized integral of the absorption coefficients, which is the same as the one for the standard AdS-II solution. We prove that the linearized integral has a finite value for the space-time dimensions and that it is the most general integral for the space-time dimensions of AdS-II. Our results are extended to the case of many black holes and to the case of several AdS-II solutions with different spectral and absorption coefficients. We discuss the difficulties that arise when the integration length is extended beyond the length of the black hole.