2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50037We show that in general holographic stress tensor may contain a new term of divergence of a spacelike unit normal acceleration. Then, it is shown that in contrast to previous descriptions, a new stress tensor for Kerr-AdS solutions can be a traceless one. Interestingly, this prescription entails a local failure on the IR-UV connection.13 pages, no figure, latex, Footnote (3) added, References added, and Minor correctionsHigh Energy Physics - TheoryHolographic Stress Tensor for Kerr-AdS Black Holes and Local Failure on IR-UV Connectiontext