  We investigate AdS/CFT correspondence for two families of Einstein black
holes in d > 3 dimensions, modelling the boundary CFT by a free conformal
scalar field and evaluating the boundary two-point function in the bulk
geodesic approximation. For the d > 3 counterpart of the nonrotating BTZ hole
and for its Z_2 quotient, the boundary state is thermal in the expected sense,
and its stress-energy reflects the properties of the bulk geometry and suggests
a novel definition for the mass of the hole. For the generalised
Schwarzschild-AdS hole with a flat horizon of topology R^{d-2}, the boundary
stress-energy has a thermal form with energy density proportional to the hole
ADM mass, but stress-energy corrections from compactified horizon dimensions
cannot be consistently included at least for d=5.
