Abstract
In this paper we find that Starobinsky's inflationary solution is also valid in the Dvali–Gabadadze–Porrati (DGP) model where a 3-brane is embedded in five-dimensional Minkowski bulk. We show that such a solution is typically not supported by the self-accelerated branch of the model, giving therefore a natural selection of the conventional branch of solutions. In the absence of brane-induced Einstein–Hilbert term the SA branch is always selected out. We then study the linearized modes around all such de Sitter brane solutions finding perturbative stability for a range of parameters of the brane QFT.