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Resorting to the notion of a stress tensor induced on the boundary of aspacetime, we compute the conserved charges associated to exact solutions ofNew Massive Gravity that obey weakened versions of AdS_3 asymptotic boundaryconditions. The computation requires the introduction of additionalcounterterms, which play the role of regularizing the semiclassical stresstensor in the boundary theory. We show that, if treated appropriately,different ways of prescribing asymptotically AdS_3 boundary conditions yieldfinite conserved charges for the solutions. The consistency of the constructionmanifests itself in that the charges of hairy asymptotically AdS_3 black holescomputed by this holography-inspired method exactly match the values requiredfor the Cardy formula to reproduce the black hole entropy. We also consider newsolutions to the equations of motion of New Massive Gravity, which happen tofulfill Brown-Henneaux boundary conditions despite not being Einsteinmanifolds. These solutions are shown to yield vanishing boundary stress tensor.The results obtained in this paper can be regarded as consistency checks forthe prescription proposed in arXiv:1001.3598.

Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity