  In this paper we construct the 5D uplift of 4D gravitational waves in de
Sitter cosmology for the brane world scenario based on a nucleated bubble in
AdS5. This makes it possible to generalize the connection between the dark
bubbles and Vilenkin's quantum cosmology to include gravitational
perturbations. We also use the uplift to explain the interpretation of the
apparently negative energy contributions in the 4D Einstein equations, which
distinguish the dark bubble scenario from Randall-Sundrum.
