(American Physical Society, 2001) Das, Saurya; Gegenberg, J.; Husain, V.
We describe a class of asymptotically AdS scalar field spacetimes, and calculate the associated conserved
charges for three, four and five spacetime dimensions using the conformal and counterterm prescriptions. The
energy associated with the solutions in each case is proportional to AM22k2, where M is a constant and k is
a scalar charge. In five spacetime dimensions, the counterterm prescription gives an additional vacuum ~Casimir!
energy, which agrees with that found in the context of AdS conformal-field theory ~CFT! correspondence.
We find a surprising degeneracy: the energy of the ‘‘extremal’’ scalar field solution M5k equals the
energy of global AdS. This result is discussed in light of the AdS/CFT conjecture.