  We explore the holographic properties of non-perturbative vacuum decay in
Anti-de Sitter ($\mathrm{AdS}$) geometries. To this end, we consider a
gravitational theory in a metastable $\mathrm{AdS}_3$ state, which decays into
an $\mathrm{AdS}_3$ of lower vacuum energy via bubble nucleation, and we employ
the Ryu-Takayanagi conjecture to compute the entanglement entropy
$S_\text{ent}$ in its alleged holographic dual. Our analysis leads us to infer
that the nucleation and growth of a vacuum bubble correspond, in the boundary
theory, to the introduction of a relevant deformation and a subsequent
Renormalization Group (RG) flow, where $S_\text{ent}$ provides a $c$-function.
We provide further evidence for the claim and comment on the holographic
interpretation of off-centred or multiple bubbles. We also frame the issue in
the formalism of Holographic Integral Geometry, discussing the consequences on
the structure of the holographic RG flow and recovering the standard
holographic RG as a limiting case.
