2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34843According to the AdS/CFT correspondence conjecture, the Randall-Sundrum infinite braneworld is equivalent to four dimensional Einstein gravity with ${\cal N}=4$ super Yang-Mills fields at low energies. Here we derive a four dimensional effective equation of motion for tensor-type perturbations in two different pictures, and demonstrate their equivalence.4 pages, some references are addedGeneral Relativity and Quantum CosmologyAdS/CFT correspondence in a Friedmann-Lemaitre-Robertson-Walker branetext