Mass in anti-de Sitter spaces

The boundary stress tensor approach has proven extremely useful in defining mass and angular momentum in asymptotically anti-de Sitter spaces with CFT duals. An integral part of this method is the use of boundary counterterms to regulate the gravitational action and stress tensor. In the presence of matter, however, ambiguities may arise that are related to the addition of possible finite counterterms. We demonstrate this explicitly for R-charged black holes in AdS(5), where introduction of a finite counterterm proportional to phi(2) is necessary to properly reproduce the expected mass/charge relation for the black holes.