A class of braneworld models can lead to phantom-like acceleration of the late universe , but without the need for any phantom matter .
In the simplest models , the universe contains only cold dark matter and a cosmological constant .
We generalize these models by introducing a quintessence field .
The new feature in our models is that quintessence leads to a crossing of the phantom divide , w = -1 .
This is a purely gravitational effect , and there is no phantom instability .
Furthermore , the Hubble parameter is always decreasing , and there is no big rip singularity in the future .