The stability of Einstein static universe in the DGP braneworld

The stability of an Einstein static universe in the DGP braneworld scenario is studied in this Letter. Two separate branches denoted by ϵ=±1 of the DGP model are analyzed. Assuming the existence of a perfect fluid with a constant equation of state, w, in the universe, we find that, for the branch with ϵ=1, there is no a stable Einstein static solution, while, for the case with ϵ=−1, the Einstein static universe exists and it is stable when −1