  Numerous claims in the literature suggest that gravity induced on a higher
co-dimensional surface violates unitarity in the weak coupling regime. However,
it remained unclear, why a conserved source localized on this surface and
giving rise to an induced gravity term at low energies would absorb and emit
the associated ghost, given a consistent source-free theory. In this article it
is shown that the appearance of the induced Einstein Hilbert term does not
threaten the unitarity of the theory. The physics arguments behind this
statement are presented in a semi-covariant language, but the detailed proof is
given using Dirac's constraint analysis. It is shown that the would-be ghost
highlighted in previous works is non-dynamical and therefore not associated
with a state in the Hilbert space. As a result of these investigations, brane
induced gravity goes without a ghost, opening an exciting window of opportunity
for consistent deformations of gravity at the largest observable distances.
