  We investigate three-dimensional black hole solutions in the realm of pure
and new massive gravity in 2+1 dimensions induced on a 2-brane embedded in a
flat four-dimensional spacetime. There is no cosmological constant neither on
the brane nor on the four-dimensional bulk. Only gravitational fields are
turned on and we indeed find vacuum solutions as black holes in 2+1 dimensions
even in the absence of any cosmological solution. There is a crossover scale
that controls how far the three- or four-dimensional gravity manifests on the
2-brane. Our solutions also indicate that local BTZ and SdS_3 solutions can
flow to local four-dimensional Schwarzschild like black holes, as one probes
from small to large distances, which is clearly a higher dimensional
manifestation on the 2-brane. This is similar to the DGP scenario where the
effects of extra dimensions for large probed distances along the brane
manifest.
