  Entanglement islands play an essential role in the recent breakthrough in
addressing the black hole information paradox. Inspired by double holography,
it is conjectured that the entanglement islands can exist only in massive
gravity. There are many pieces of evidence but also debates for this
conjecture. This paper recovers the massless entanglement island in wedge
holography with negative DGP gravity on the brane. However, the spectrum of
negative DGP gravity includes a massive ghost, implying the model is unstable.
Our work supports the view that there is no entanglement island in a
well-defined braneworld model of massless gravity if one divides the radiation
and black hole regions by minimizing entanglement entropy. However, such a
partition results in a zero radiation region containing no information. Whether
there are other physical non-trivial partitions of the radiation region is an
open question and deserves further study.
