Kerr-Newman-de Sitter solution on DGP brane

We find an exact solution of Kerr-Newman-de Sitter type on the braneworld (4D) of the DGP model. When a constant 4D Ricci scalar is assumed, only zero (flat) and a positive (de Sitter) values satisfy the Hamiltonian constraint equation coming from the extra dimension. With a Z2-symmetry across the brane and a stationary and axisymmetric metric ansatz on the brane, we solve the constraint equation exactly in the Kerr-Schild form with de Sitter background. In the de Sitter background this Kerr-Schild solution is well behaved under Boyer-Lindquist transformation: the constraint equation is preserved under the transformation and so is the solution. In the non-rotating limit we show that this Kerr-Newman-de Sitter solution has the characteristic of accelerated expansion of the braneworld universe